Dr Vivek Singh

@iitism.ac.in

Department of Applied Mathematics
Indian School of Mines, Dhanbad



           

https://researchid.co/viveksingh.25jun
23

Scopus Publications

21

Scholar Citations

2

Scholar h-index

Scopus Publications

  • Development of a pyramidal magneto-optical trap for pressure sensing application
    Subhajit Supakar, Vivek Singh, Yeddanapudi Pavan Kumar, Sanjiv Kumar Tiwari, Chandrachur Mukherjee, Mangalore Pandurang Kamath, Vibhuti Bhushan Tiwari, and Satya Ram Mishra
    SPIE-Intl Soc Optical Eng
    Abstract. We report the development and working of a compact rubidium atom magneto-optical trap (MOT) operated with a hollow pyramidal mirror and a single laser beam. This type of compact MOT is suitable for developing portable atom-optic devices as it works with a smaller number of optical components compared with the conventional MOT setup. The application of this compact MOT setup for pressure sensing has been demonstrated.

  • Stillbirths in India: Current Status, Challenges, and the Way Forward
    Neelam Aggarwal, Chandrakant Lahariya, Bharti Sharma, Tamkin Khan, Bulbul Sood, Vivek V. Singh, Shruti Verma, Anita Upadhyay, and L. K. Dhaliwal
    Springer Science and Business Media LLC

  • Creating and sustaining a digital community of practice for quality improvement in South-East Asia during the COVID-19 pandemic
    Vikram Datta, Sushil Srivastava, Komal Lalwani, Rahul Garde, Suprabha K Patnaik, Praveen Venkatagiri, Jeena Pradeep, Vidhyadhar Bangal, Harish Pemde, Achala Kumar,et al.
    BMJ
    IntroductionEnsuring quality of care in Low and Middle Income countries (LMICs) is challenging. Despite the implementation of various quality improvement (QI) initiatives in public and private sectors, the sustenance of improvements continues to be a major challenge. A team of healthcare professionals in India developed a digital community of practice (dCoP) focusing on QI which now has global footprints.MethodologyThe dCoP was conceptualised as a multitiered structure and is operational online atwww.nqocncop.orgfrom August 2020 onwards. The platform hosts various activities related to the quality of care, including the development of new products, and involves different cadres of healthcare professionals from primary to tertiary care settings. The platform uses tracking indicators, including the cost of sustaining the dCoP to monitor the performance of the dCoP.ResultSince its launch in 2020, dCoP has conducted over 130 activities using 13 tools with 25 940 registration and 13 681 participants. From April 2021, it has expanded to countries across the South-East Asia region and currently has participants from 53 countries across five continents. It has developed 20 products in four thematic areas for a targeted audience. dCoP is supporting mentoring of healthcare professionals from five countries in the South-East Asia region in their improvement journey. Acquiring new knowledge and improvement in their daily clinical practice has been reported by 93% and 80% of participants, respectively. The dCoP and its partners have facilitated the publication of nearly 40 articles in international journals.ConclusionThis dCoP platform has become a repository of knowledge for healthcare professionals in the South-East Asia region. The current paper summarises the journey of this innovative dCoP in an LMIC setting for a wider global audience.

  • Ultrahigh vacuum pressure measurement using magneto-optical trap on atom chip
    S. Supakar, Vivek Singh, V. B. Tiwari, and S. R. Mishra
    AIP Publishing
    In this work, the UHV background pressure as low as 1.1×10−10 Torr has been measured using the loss rate characteristics of a vapor-loaded magneto-optical trap (MOT) formed on an atom chip in a UHV chamber. The loss rate due to non-rubidium (Rb) gases in the background in the chamber has been estimated by operating the MOT in low cooling beam intensities and low Rb pressure regimes simultaneously. Using this approach, we minimized the contributions of the intra-trap collisions as well as background MOT species collisions to the measured trap loss rate in our setup. These results can be useful for development of cold-atom based UHV pressure standards.


  • Operators associated with lattice-valued multiset finite automata
    Mallika Dhingra, M. K. Dubey, Vivek Singh, and Anand P. Singh
    AIP Publishing

  • Development and characterization of atom chip for magnetic trapping of atoms
    Vivek Singh, V. B. Tiwari, A. Chaudhary, R. Shukla, C. Mukherjee, and S. R. Mishra
    AIP Publishing
    In this work, we report the development and characterization of an atom chip for magnetic trapping of cold 87Rb atoms. For fabrication of the atom chip, a silicon substrate was used after depositing an insulating layer of silica (SiO2) on it. An adhesive chromium layer was further deposited on this substrate before the deposition of the final layer of gold. On this gold coated substrate, a z-shaped gold wire (cross section, 500×2.5μm2) was fabricated by a photo-chemical machining method. The chip wire was tested for current–voltage characteristics for its reliable operation in magnetic trapping. The atoms from an U-magneto-optical trap, after optical pumping, were directly trapped in the magnetic trap of the atom chip.

  • Burden of Childhood Injuries in India and Possible Public Health Interventions: A Systematic Review
    Mohan Kumar, Vineet Kumar Pathak, Saparya Tripathi, Anita Upadhyay, Vivek V. Singh, and Chandrakant Lahariya
    Medknow
    Abstract Childhood injuries are a major public health challenge in India and globally. This systematic review was conducted to understand the burden and spectrum of childhood injuries, with a focus on unintentional injuries, among children 5–14 years of age and to suggest approaches to prevention that can be adopted in the Indian context. This systematic review was conducted with the standard approach and use of keywords. A total of 33 studies which were found to be relevant were analyzed. Road traffic accidents (RTAs) contribute to nearly 85% of all unintentional injuries and related deaths and 90% of disability-adjusted life years (DALYs) lost in developing countries. Poor traffic regulation, heavy traffic load, and poor skill of identifying the dangerous road crossing sites make the children’s age group vulnerable and prone to RTA. Children with poor skill of identification and response to dangerous road crossing sites, along with heavy unregulated traffic were found to be the major reasons for such accidents and make this age group more vulnerable. Public health-based prevention approaches need to be based upon legislation, regulation, and enforcement, as well as environmental modification, education and skill development, emergency medical care using levels of prevention, and principles of targeted prevention to effectively address child health challenges. Addressing child injuries should be a key component of all endeavors aimed at enhancing child mortality and morbidity rates, as well as the overall welfare of children, both at the national and global levels. It is imperative to prioritize policies focused on preventing unintentional injuries across all age groups, with particular attention to children.

  • Challenges in Accessing and Delivering Maternal and Child Health Services during the COVID-19 Pandemic: A Cross-Sectional Rapid Survey from Six States of India
    Saurabh Sharma, Sumit Aggarwal, Ragini Kulkarni, Dinesh Kumar, Bijaya Kumar Mishra, Gaurav Raj Dwivedi, K. Rekha Devi, Raja Sriswan Mamidi, Khangembam Jitenkumar Singh, Lucky Singh,et al.
    MDPI AG
    Background/Objectives: Globally, the COVID-19 pandemic and its prevention and control policies have impacted maternal and child health (MCH) services. This study documents the challenges faced by patients in accessing MCH services, and the experiences of health care providers in delivering those services during the COVID-19 outbreak, explicitly focusing on the lockdown period in India. Methods: A cross-sectional study (rapid survey) was conducted in 18 districts from 6 states of India during March to June, 2020. The sample size included 540 MCH patients, 18 gynaecologists, 18 paediatricians, 18 district immunisation officers and 108 frontline health workers. Bivariate analysis and multivariable analysis were used to assess the association between sociodemographic characteristics, and challenges faced by the patients. Results: More than one-third of patients (n = 212; 39%) reported that accessing MCH services was a challenge during the lockdown period, with major challenges being transportation-related difficulties (n = 99; 46%) unavailability of hospital-based services (n = 54; 23%) and interrupted outreach health services (n = 39; 18.4%). The supply-side challenges mainly included lack of infrastructural preparedness for outbreak situations, and a shortage of human resources. Conclusions/Recommendations: A holistic approach is required that focuses on both preparedness and response to the outbreak, as well reassignment and reinforcement of health care professionals to continue catering to and maintaining essential MCH services during the pandemic.

  • The burden of risk factors for non-communicable disease in rural Bihar, India: a comparative study with national health surveys
    Stephanie Ross, Kashika Chadha, Shantanu Mishra, Sarah Lewington, Sasha Shepperd, Toral Gathani, , Sandra Albert, Apoorva Bhatnagar, Kashika Chadha,et al.
    Springer Science and Business Media LLC
    Abstract Background The incidence of non-communicable diseases (NCDs) is increasing in rural India. The National Family Health Survey-5 (NFHS-5) provides estimates of the burden of NCDs and their risk factors in women aged 15–49 and men aged 15–54 years. The aim of this study is to estimate the prevalence of hypertension and body-mass index (BMI) in adults aged 35–70 years in rural India and to compare these estimates, where age ranges overlap, to routinely available data. Methods The Non-Communicable Disease in Rural India (NCDRI) Study was a cross-sectional household survey of 1005 women and 1025 men aged 35–70 conducted in Bihar in July 2019. Information was collected on personal characteristics, self-reported medical history and physical measurements (blood pressure, height and weight). Prevalence estimates for hypertension (systolic blood pressure ≥ 140 mmHg or diastolic blood pressure ≥ 90 mmHg, or diagnosed and treated for hypertension), and for underweight (body-mass index < 18.5 kg/m2), normal weight (18.5–25.0 kg/m2) and overweight (≥ 25.0 kg/m2) were calculated. Where age ranges overlapped, estimates from the NCDRI Study were compared to the NFHS-5 Survey. Results In the NCDRI Study, the estimated prevalence of hypertension was 27.3% (N = 274) in women and 27.6% (N = 283) in men aged 35–70, which was three-times higher in women and over two-times higher in men than in the NFHS-5 Survey. One-quarter (23.5%; N = 236) of women and one-fifth (20.2%; N = 207) of men in the NCDRI Study were overweight, which was approximately 1.5 times higher than in the NFHS-5 Survey. However, where age groups overlapped, similar age-standardized estimates were obtained for hypertension and weight in both the NCDRI Study and the NFHS-5 Survey. Conclusion The prevalence of NCDs in rural India is higher than previously reported due to the older demographic in our survey. Future routine national health surveys must widen the age range of participants to reflect the changing disease profile of rural India, and inform the planning of health services.

  • Efficient quantum state preparation using Stern-Gerlach effect on cold atoms
    Vivek Singh, V B Tiwari, and S R Mishra
    IOP Publishing
    Abstract The Zeeman hyperfine state dependent force in a Stern–Gerlach experiment has been exploited to separate and quantitatively detect atoms in different Zeeman hyperfine states in a cold atom cloud of 87 Rb atoms. Using this atomic state detection technique, the quantum state of the atom cloud has been prepared with high efficiency for magnetic trapping application.

  • DUALITY FOR A CLASS OF NONSMOOTH SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL OPTIMIZATION PROBLEMS


  • Indian Academy of Pediatrics Position Paper on Nurturing Care for Early Childhood Development
    Sharmila Banerjee Mukherjee, Deepti Agrawal, Devendra Mishra, Digant Shastri, Samir Hasan Dalwai, Nandita Chattopadhyay, Jeeson Unni, Ketan Bharadva, Anjana Thadhani, Maria Lewin,et al.
    Springer Science and Business Media LLC

  • Development of a framework of intervention strategies for point of care quality improvement at different levels of healthcare delivery system in India: Initial lessons
    Vikram Datta, Sushil Srivastava, Rahul Garde, Rajesh Mehta, Nigel Livesley, Kedar Sawleshwarkar, Harish Pemde, Suprabha K Patnaik, Ankur Sooden, Mahtab Singh,et al.
    BMJ
    BackgroundInadequate quality of care has been identified as one of the most significant challenges to achieving universal health coverage in low-income and middle-income countries. To address this WHO-SEARO, the point of care quality improvement (POCQI) method has been developed. This paper describes developing a dynamic framework for the implementation of POCQI across India from 2015 to 2020.MethodsA total of 10 intervention strategies were designed as per the needs of the local health settings. These strategies were implemented across 10 states of India, using a modification of the ‘translating research in practice’ framework. Healthcare professionals and administrators were trained in POCQI using a combination of onsite and online training methods followed by coaching and mentoring support. The implementation strategy changed to a fully digital community of practice platform during the active phase of the COVID-19 pandemic. Dashboard process, outcome indicators and crude cost of implementation were collected and analysed across the implementation sites.ResultsThree implementation frameworks were evolved over the study period. The combined population benefitting from these interventions was 103 million. A pool of QI teams from 131 facilities successfully undertook 165 QI projects supported by a pool of 240 mentors over the study period. A total of 21 QI resources and 6 publications in peer-reviewed journals were also developed. The average cost of implementing POCQI initiatives for a target population of one million was US$ 3219. A total of 100 online activities were conducted over 6 months by the digital community of practice. The framework has recently extended digitally across the South-East Asian region.ConclusionThe development of an implementation framework for POCQI is an essential requirement for the initiative’s successful country-wide scale. The implementation plan should be flexible to the healthcare system’s needs, target population and the implementing agency’s capacity and amenable to multiple iterative changes.

  • Duality for multiobjective variational problems under second-order (Φ, ρ)-invexity
    Vivek Singh, I. Ahmad, S.K. Gupta, and S. Al-Homidan
    National Library of Serbia
    The purpose of this article is to introduce the concept of second order (?,?)-invex function for continuous case and apply it to discuss the duality relations for a class of multiobjective variational problem. Weak, strong and strict duality theorems are obtained in order to relate efficient solutions of the primal problem and its second order Mond-Weir type multiobjective variational dual problem using aforesaid assumption. A non-trivial example is also exemplified to show the presence of the proposed class of a function.

  • Isolated and proper efficiencies for semi-infinite multiobjective fractional problems


  • Polarization enhanced tunable doppler-free Dichroic lock technique for laser frequency locking
    Vivek Singh, V. B. Tiwari, and S. R. Mishra
    Optica Publishing Group
    We present a technique, called the polarization enhanced tunable Doppler-free dichroic lock (PET-DFDL) technique, for frequency stabilization of a laser system. This technique is based on the magnetically induced circular dichroism for a pair of circularly polarized probe beams overlapped by oppositely circularly polarized counterpropagating pump beams. The amplitude and slope of the signal generated in the PET-DFDL technique at cooling transition F = 2 → F ′ = 3 in 87 R b atom are nearly 4 times higher than those of signal generated from conventional Doppler-free dichroic lock (DFDL). The proposed PET-DFDL technique can also provide tunable lock-position. The frequency stability of a laser system locked with the PET-DFDL technique has been improved by factor of 2 as compared to frequency stability obtained by the DFDL technique. The dependence of PET-DFDL signal on pump beam power and magnetic field for the cooling transition of 87 R b atom is also investigated.

  • On the continuous loading of a U-magneto-optical trap on an atom-chip in an ultra high vacuum
    Vivek Singh, V B Tiwari, and S R Mishra
    IOP Publishing
    Here, we report our studies on the continuous loading of a U-magneto-optical trap (U-MOT) on an atom-chip with a rubidium-(Rb)-vapor-generated background using a dispenser source in an ultra high vacuum environment. Using the U-MOT loading curves, the partial pressure due to the Rb vapor and the pressure due to the background gas have been estimated near the MOT cloud position. The estimated pressure due to the Rb vapor increased from  ∼ Torr to Torr as the Rb-dispenser current was increased from 2.8 to 3.4 A. The increase in dispenser current also resulted in a decrease in loading time as well as the lifetime of the MOT cloud. This study will be useful for magnetic trapping experiments where accurate information of the pressure in a chamber is important for the lifetime of the magnetic trap.

  • Higher order duality for cone vector optimization problems
    Vivek Singh, Anurag Jayswal, S. Al-Homidan, and I. Ahmad
    World Scientific Pub Co Pte Lt
    In this paper, we present a new class of higher order [Formula: see text]-[Formula: see text]-invex functions over cones. Further, we formulate two types of higher order dual models for a vector optimization problem over cones containing support functions in objectives as well as in constraints and establish several duality results, viz., weak and strong duality results.

  • Estimation of residual stress and deformation of laser deposited tracks of Ni-5Mo-5Al powder using thermo-mechanical finite element simulation
    Ankit Shrivastava, Vikash Kumar, Vivek Singh, Sumanta Mukherjee, Prakash Kumar, and Sitanshu Shekhar Chakraborty
    IOP Publishing
    Abstract Exhaust fans and manifolds, valve and pump seats, connecting rods etc. are coated with Ni-5Mo-5Al powder for service temperature up to 650 °C. Till date, it has been coated on structural steels etc. substrate mostly using plasma spray and High-Velocity Oxy-Fuel (HVOF) spraying. However, a few pioneering works, reported cladding by melt and deposition of the same powder using laser. Laser being much more precise heat source has the potential to achieve cladding without causing much thermally induced damage. In this work, laser cladding of Ni-5Mo-5Al powder was simulated probably for the first time. Layer thickness and width were input from the experiments. A significant amount of tensile residual stress (up to 500 MPa normal stress component along the scan track) and deformation (up to 32 μm) of the deposited layer was found in the simulation results. These were more at higher laser power. Experiments consisted of depositing overlapping tracks, on AISI 1020 steel cylindrical substrates having 39 mm diameter and 22.4 mm thickness, by blown powder method, with the help of a 2 KW Yb fibre laser having 1.07 μmwavelength.

  • Erratum: Fusion and quasi-elastic scattering in the Li 6,7 + Au 197 systems (Physical Review C (2014) 89 (024607) DOI: 10.1103/PhysRevC.89.024607)
    C. S. Palshetkar, Shital Thakur, V. Nanal, A. Shrivastava, N. Dokania, V. Singh, V. V. Parkar, P. C. Rout, R. Palit, R. G. Pillay,et al.
    American Physical Society (APS)

  • The Characterization of Efficiency and Saddle Point Criteria for Multiobjective Optimization Problem with Vanishing Constraints
    Anurag Jayswal and Vivek Singh
    Springer Science and Business Media LLC
    In this article, we focus to study about modified objective function approach for multiobjective optimization problem with vanishing constraints. An equivalent η-approximated multiobjective optimization problem is constructed by a modification of the objective function in the original considered optimization problem. Furthermore, we discuss saddle point criteria for the aforesaid problem. Moreover, we present some examples to verify the established results.

  • Duality for multiobjective optimization problem with vanishing constraints


  • On loading of a magneto-optical trap on an atom-chip with U-wire quadrupole field
    Vivek Singh, V. B. Tiwari, K. A. P. Singh, and S. R. Mishra
    Informa UK Limited
    ABSTRACT The role of U-wire generated quadrupole-like magnetic field profile on loading of cold atoms in a magneto-optical trap (MOT) on atom-chip has been investigated. It is shown by simulations that the quadrupole field profile and the centre of the quadrupole field vary depending upon the U-wire current and bias field values. Moreover, the resemblance of generated field profile to the ideal quadrupole field critically depends on the values of current in U-wire and bias magnetic field. The observed number of trapped atoms in the MOT and its position has also been found to depend on the quadrupole field profile. The number of trapped atoms in the MOT reaches maximum when the field profile approaches close to an ideal quadrupole field. These studies are, in general, useful in optimizing the number in the MOT before transfer of these cold atoms to the microtraps of an atom-chip.

  • Coupling field dependent quantum interference effects in a Λ-system of <sup>87</sup>Rb atom
    Charu Mishra, A. Chakraborty, Vivek Singh, S.P. Ram, V.B. Tiwari, and S.R. Mishra
    Elsevier BV

RECENT SCHOLAR PUBLICATIONS

  • An l1 Exact Exponential Penalty E‐Function Method for E‐Differentiable Vector Optimization Problems Under E‐Exponential Type Invexity
    N Shekhawat, I Stancu‐Minasian, V Singh
    Journal of Multi‐Criteria Decision Analysis 32 (1), e70009 2025

  • Nondifferentiable minimax programming problems under higher-order convexity
    N Shekhawat, I Stancu-Minasian, AM Rusu-Stancu, V Singh
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics 87 (1), 49-62 2025

  • Mixed-type duality approach for interval-valued programming problems with vanishing constraints
    V Singh, N Shekhawat
    Results in Control and Optimization, 100527 2025

  • Nondifferentiable multiobjective semi-infinite programming problems under higher-order convexity
    V Singh, N Shekhawat, MK Dubey
    AIP Conference Proceedings 2699 (1) 2023

  • Operators associated with lattice-valued multiset finite automata
    M Dhingra, MK Dubey, V Singh, AP Singh
    American Institute of Physics Conference Series 2699 (1), 020034 2023

  • DUALITY FOR A CLASS OF NONSMOOTH SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL OPTIMIZATION PROBLEMS
    V Singh, A Jayswal, I Stancu-Minasian, AM Rusu-Stancu
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED 2022

  • Duality for Multiobjective Variational Problems under Second-Order (Φ, ρ)-Invexity
    V Singh, I Ahmad, SK Gupta, S Al-Homidan
    Filomat 35 (2), 605-615 2021

  • Isolated and proper efficiencies for semi-infinite multiobjective fractional problems
    V Singh, A Jayswal, I Stancu-Minasian, AM Rusu-Stancu
    Series A Applied Mathematics and Physics 83, 111-124 2021

  • On higher-order duality in nondifferentiable minimax fractional programming
    S Al-Homidan, V Singh, I Ahmad
    Applications and Applied Mathematics: An International Journal (AAM) 16 (1), 22 2021

  • Higher order duality for cone vector optimization problems
    V Singh, A Jayswal, S Al-Homidan, I Ahmad
    Asian-European Journal of Mathematics 13 (01), 2050020 2020

  • The characterization of efficiency and saddle point criteria for multiobjective optimization problem with vanishing constraints
    A Jayswal, V Singh
    Acta Mathematica Scientia 39 (2), 382-394 2019

  • Duality for multiobjective optimization problem with vanishing constraints
    A Jayswal, V Singh
    Dynamics of Continuous, Discrete and Impulsive Systems Series A 2019

  • Duality for nondifferentiable minimax fractional programming problem involving higher order (C, α, ρ, d)(C, α, ρ, d)-convexity
    A Jayswal, V Singh, K Kummari
    Opsearch 54, 598-617 2017

  • Optimality and duality in multiobjective programming involving higher order semilocally strong convexity
    A Jayswal, V Singh, I Ahmad
    International Journal of Mathematics in Operational Research 11 (2), 204-218 2017

  • Duality for a class of nonsmooth multiobjective programming problems using convexificators
    A Jayswal, K Kummari, V Singh
    Filomat 31 (2), 489-498 2017

  • Optimality and duality for nonsmooth minimax programming problems using convexifactor
    I Ahmad, K Kummari, V Singh, A Jayswal
    Filomat 31 (14), 4555-4570 2017

  • Optimality and parametric duality for nonsmooth minimax fractional programming problems involving L-invex-infine functions
    A Jayswal, K Kummari, V Singh
    Pesquisa Operacional 36 (2), 227-239 2016

MOST CITED SCHOLAR PUBLICATIONS

  • The characterization of efficiency and saddle point criteria for multiobjective optimization problem with vanishing constraints
    A Jayswal, V Singh
    Acta Mathematica Scientia 39 (2), 382-394 2019
    Citations: 9

  • Isolated and proper efficiencies for semi-infinite multiobjective fractional problems
    V Singh, A Jayswal, I Stancu-Minasian, AM Rusu-Stancu
    Series A Applied Mathematics and Physics 83, 111-124 2021
    Citations: 7

  • Optimality and duality in multiobjective programming involving higher order semilocally strong convexity
    A Jayswal, V Singh, I Ahmad
    International Journal of Mathematics in Operational Research 11 (2), 204-218 2017
    Citations: 6

  • Duality for a class of nonsmooth multiobjective programming problems using convexificators
    A Jayswal, K Kummari, V Singh
    Filomat 31 (2), 489-498 2017
    Citations: 6

  • Optimality and duality for nonsmooth minimax programming problems using convexifactor
    I Ahmad, K Kummari, V Singh, A Jayswal
    Filomat 31 (14), 4555-4570 2017
    Citations: 6

  • Duality for Multiobjective Variational Problems under Second-Order (Φ, ρ)-Invexity
    V Singh, I Ahmad, SK Gupta, S Al-Homidan
    Filomat 35 (2), 605-615 2021
    Citations: 5

  • DUALITY FOR A CLASS OF NONSMOOTH SEMI-INFINITE MULTIOBJECTIVE FRACTIONAL OPTIMIZATION PROBLEMS
    V Singh, A Jayswal, I Stancu-Minasian, AM Rusu-Stancu
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED 2022
    Citations: 4

  • Optimality and parametric duality for nonsmooth minimax fractional programming problems involving L-invex-infine functions
    A Jayswal, K Kummari, V Singh
    Pesquisa Operacional 36 (2), 227-239 2016
    Citations: 4

  • Operators associated with lattice-valued multiset finite automata
    M Dhingra, MK Dubey, V Singh, AP Singh
    American Institute of Physics Conference Series 2699 (1), 020034 2023
    Citations: 3

  • On higher-order duality in nondifferentiable minimax fractional programming
    S Al-Homidan, V Singh, I Ahmad
    Applications and Applied Mathematics: An International Journal (AAM) 16 (1), 22 2021
    Citations: 2

  • Higher order duality for cone vector optimization problems
    V Singh, A Jayswal, S Al-Homidan, I Ahmad
    Asian-European Journal of Mathematics 13 (01), 2050020 2020
    Citations: 2

  • Duality for nondifferentiable minimax fractional programming problem involving higher order (C, α, ρ, d)(C, α, ρ, d)-convexity
    A Jayswal, V Singh, K Kummari
    Opsearch 54, 598-617 2017
    Citations: 2