Fixed Point Theorems in Interpolative G-Metric Spaces: A Novel Approach Kajal, Manoj Kumar, Ola Ashour Abdelnaby, Rajagopalan Ramaswamy International Journal of Analysis and Applications, 2026 In this paper, we have introduced a new notion of interpolative G-metric space. We establish a fixed point theorem for a contractive mapping in interpolative G-metric space. Some examples are also provided to illustrate the validity of the result. The presented theorem extends, generalizes and refines various existing results from the literature. As an application we present a model to establish convergence in group decision making.
Some Fixed Point Results for Hybrid Contraction in Metric Spaces and Ulam-Hyers Stability Rajagopalan Ramaswamy, Manoj Kumar, Prem Lata Sharma, Rayan Abdulrahman Alkhowaiter, Hossam A Nabway, Ola Ashour A Abdelnaby, Gunaseelan Mani European Journal of Pure and Applied Mathematics, 2025 In the present manuscript, we introduce a new notion of (β, ϕ)− admissible hybrid contractions in metric spaces and establish fixed point results in the setting of these spaces. The derived results extend the reported findings of the past. The derived result is supplemented with a non-trivial example. We have also analyzed the Ulam-Hyers stability and well-poisedness as anapplication to the derived results.
Effect of three-phase-lag thermal and three-phase-lag diffusion models on waves at the boundary of elastic and thermoelastic diffusion medium Shruti Goel, Vandana Gupta, Manoj Kumar International Journal of Modern Physics B, 2025 In this paper, we discuss the reflection and refraction of an incident P wave or [Formula: see text] wave at the interface of a plane. The plane, which is divided into two halves, is an elastic medium [Formula: see text] having an incident wave and a thermoelastic diffusion medium [Formula: see text] with TPLT (i.e., three-phase-lag thermal) and TPLD (i.e., three-phase-lag diffusion) models. It has been noticed that two waves are reflected and four are refracted in an isotropic thermoelastic diffusion medium. Out of the four refracted waves, three are longitudinal waves: a quasi-longitudinal wave [Formula: see text] a quasi-mass diffusion wave [Formula: see text], a quasi-thermal wave [Formula: see text] and one is a transverse wave [Formula: see text]. If we consider the above waves first, the amplitude and energy ratio are calculated by using the surface boundary conditions and then graphically represented to compare the change in energy and amplitude ratio with the change in incident angle for three particular cases. The conservation of energy is depicted by verifying that all the energy sums up to unity. The considered problem has its application in earthquake engineering, astronautics, rocket engineering, seismology and many more engineering areas.
Fixed Point Theorems for α-Admissible Mappings in Metric Like Spaces Nisha Kumari, Prem Lata, Manoj Kumar Boletim Da Sociedade Paranaense De Matematica, 2025 In this paper, we shall introduce some -admissible contractions and prove some fixed point theorems for such contractions in complete metric like spaces. We shall also provide examples to support the main results.
Fixed Point Theorems for Generalized Weakly Contractive Mapping in S-Metric Space Deepika, Manoj Kumar Boletim Da Sociedade Paranaense De Matematica, 2025 In this manuscript we shall prove fixed point results for generalized weakly contractive mapping in complete S-metric spaces. An example is also provided to prove the validity of our results
Some fixed point theorems for (ξ,α)-expansive mappings in complete bipolar metric spaces Pankaj, Manoj Kumar Boletim Da Sociedade Paranaense De Matematica, 2025 In this paper, we will introduce the notion of (ξ,α)-expansive covariant and contravariant mappings in bipolar metric spaces. In addition, we prove some fixed point theorems for existence and uniqueness of fixed points for (ξ,α)-expansive covariant and contravariant mappings in complete bipolar metric space. At the end, we shall also provide some examples to support the theorems.
Common fixed points for generalized weakly contractive maps using simulation function Manoj Kumar, Rashmi Sharma Boletim Da Sociedade Paranaense De Matematica, 2025 In this paper, first we prove a common fixed point theorem for a pair of weakly compatible maps under generalized weak contractive condition. Secondly, we prove common fixed point theorems for weakly compatible mappings along with E.A. and (CLRf ) properties. At the end, we prove a common fixed point theorem for variants of R-weakly commutative maps.
Fixed Point Theorems for Several Contractions in Super Metric Space Sheetal, Manoj Kumar Boletim Da Sociedade Paranaense De Matematica, 2025 In this paper, fixed point results for several contractions in the setting of super metric spaces are proved. Some suitable examples are also provided to illustrate the main results.
Study of different theories of thermoelasticity under the Rayleigh wave propagation along an isothermal boundary Gupta, Vandana, Kumar, Manoj, Goel, Shruti Materials Physics and Mechanics, 2025 The propagation of Rayleigh surface waves in an isotropic thermoelastic solid half-space is the focus of the current study, which takes into account the compact form of six distinct thermoelasticity theories. An isothermal boundary surface in the absence of tangential and normal stress is used to solve the problem. A dispersion equation with irrational terms is obtained after creating a mathematical model. This equation needs to be transformed into a rational polynomial equation in order to use the algebraic method to find exact complex roots. The roots are filters for in-homogenous wave propagation that decays with depth. Then these roots are used to compute the numerically characteristic properties of the Rayleigh wave, which include phase velocity, attenuation coefficient, and polarisation of particles. The results are presented graphically for particular cases of thermoelasticity by using the physical data of copper metal.
Generalized α − ψ Rational-Type Contractions and Related Fixed Point Results in Controlled Metric Spaces Manoj Kumar, Swati Parashar, Pankaj Kumar, Rahul Shukla Journal of Mathematics, 2025 We introduce the new notion of generalized α − ψ rational type contractions of type I and type II in controlled metric spaces. By making use of these new notions, some fixed point theorems are also proved in the mentioned spaces for the α− admissible self maps. Some examples on the finite sets are also provided to prove the validity of our results. Some results which are direct consequences of the proved results are mentioned in the form of corollaries. As an application, an integral equation is solved with the aid of our results. Finally, a series electric circuit problem in the form of second‐order differential equation is solved by converting it into fixed point problem with the aid of the proved result.
Common fixed point theorems for four self maps satisfying generalized (ψ, φ)-weak contraction in metric space Italian Journal of Pure and Applied Mathematics, 2023
On the power of simulation map for almost Z− contraction in G-metric space with applications to the solution of the integral equation Italian Journal of Pure and Applied Mathematics, 2020
Common fixed point for generalized-(ψ,α, β)-weakly contractive mappings in generalized metric spaces Global Journal of Pure and Applied Mathematics, 2016
Transparent conducting ZnO:Al thin films prepared by ArF excimer laser ablation Proceedings of SPIE the International Society for Optical Engineering, 2000
RECENT SCHOLAR PUBLICATIONS
Fixed point theorems in interpolative G-metric spaces: a novel approach M Kumar, OA Abdelnaby, R Ramaswamy International Journal of Analysis and Applications 24, 58-58 , 2026 2026 Citations: 1
α-Admissible E-type contractions with respect to ξ and related fixed point theorems in supra metric space P Kumar, A Kumar, M Kumar, V Mor, R Shukla Adv. Fixed Point Theory 15, Article ID 32 , 2025 2025 Citations: 2
Fixed Point Theorems for (β, φ)-Expansive Mappings in Controlled Metric Space M Kumar, N Bhardwaj, G Mani, R Ramaswamy, KH Khan, ... European Journal of Pure and Applied Mathematics 18 (4), 7124-7124 , 2025 2025 Citations: 1
Tribological behaviour and feature optimisation of multi-layered aluminium alloy 6061 fabricated by accumulative roll bonding VP Singh, AK Sinha, GK Gupta, CSS Bisht, M Kumar, TA Dar, S Mishra Canadian Metallurgical Quarterly, 1-21 , 2025 2025
Corrosion Behavior of 5052 Aluminum Alloy Processed by Accumulative Roll Bonding VP Singh, TA Dar, M Kumar, GK Gupta, S Mishra Journal of Bio-and Tribo-Corrosion 11 (3), 90 , 2025 2025
FIXED POINT THEOREMS FOR ADMISSIBLE HYBRID CONTRACTION IN G-METRIC SPACES JK Kim, M Kumar, P Lata Nonlinear Functional Analysis and Applications, 647-663 , 2025 2025
Some Fixed Point Results for Hybrid Contraction in Metric Spaces and Ulam-Hyers Stability R Ramaswamy, M Kumar, PL Sharma, RA Alkhowaiter, HA Nabway, ... European Journal of Pure and Applied Mathematics 18 (3), 6243-6243 , 2025 2025 Citations: 2
Evaluation of the Antidiabetic Potential of Methanolic Extract of Clerodendrum infortunatum Compared to Metformin in Streptozotocin-induced Diabetic Rats M Kumar, P Prabhakar, S Hameed, M Kumar, R Shekhar, B Kumar, ... International Journal of Applied and Basic Medical Research 15 (2), 78-84 , 2025 2025
Effect of three-phase-lag thermal and three-phase-lag diffusion models on waves at the boundary of elastic and thermoelastic diffusion medium S Goel, V Gupta, M Kumar International Journal of Modern Physics B 39 (03), 2550025 , 2025 2025
Effect of feeding mustard cake on nutrient utilization in Pratapdhan chicks SK Gurjar, S Mishra, M Jat, P Salvi, O Sindhu, M Kumar, AK Meena International Journal of Environment, Agriculture and Biotechnology 10 (3 … , 2025 2025
Constraints faced by goat keepers in Rajsamand district of Rajasthan P Salvi, S Mishra, SK Gurjar, M Kumar, K Solavia, T Nagar International Journal of Environment, Agriculture and Biotechnology 10 (3 … , 2025 2025
Fixed Point Theorems for α-Admissible Mappings in Metric Like Spaces PLMK Nisha Kumari Bol. Soc. Paran. Mat. 43 (2025), 1-10 , 2025 2025
Some fixed point theorems for (ξ, α)-expansive mappings in complete bipolar metric spaces PM Kumar Bol. Soc. Paran. Mat. 43 (2025), 1-10 , 2025 2025
FIXED POINT THEOREMS FOR CRRSJ-TYPE AND ADMISSIBLE HYBRID CONTRACTIONS IN b-METRIC SPACES RR MANOJ KUMAR , RACHNA GOYAL , RAYAN ABDULRAHMAN ALKHOWAITER Journal of Nonlinear Functional Analysis 2025 (28), 1-11 , 2025 2025
ANALYTICAL AND NUMERICAL TREATMENT OF A FASTER IMPLICIT ITERATIVE ALGORITHM. K KUMAR, N HUSSAIN, M KUMAR, S NARWAL, V KUMAR Journal of Mathematical Analysis 16 (1) , 2025 2025
Common Fixed Point Results for Three Pairs of Self-Maps in Generalized -Fuzzy -Metric Space M Kumar Communications in Mathematics and Applications 16 (1), 155 , 2025 2025
173 Common Fixed Point Results via Simulation Functions and Solution of an Anti-Periodic Ordinary Differential Equation in Bipolar Metric Spaces P Kumar, M Kumar Summability, Fixed Point Theory and Generalized Integrals with Applications … , 2025 2025
Controlled Metric Space and Fixed Point Theorems for Jaggi–Suzuki–Type Hybrid Contraction S Parashar, M Kumar, P Kumar, R Shukla International Journal of Mathematics and Mathematical Sciences 2025 (1), 7150080 , 2025 2025
Common fixed points for generalized weakly contractive maps using simulation function M Kumar, R Sharma BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA 43 , 2025 2025
Generalized α − ψ Rational‐Type Contractions and Related Fixed Point Results in Controlled Metric Spaces M Kumar, S Parashar, P Kumar, R Shukla Journal of Mathematics 2025 (1), 3878750 , 2025 2025 Citations: 1
MOST CITED SCHOLAR PUBLICATIONS
Risk analysis of flood disaster based on similarity measures in picture fuzzy environment P Singh, NK Mishra, M Kumar, S Saxena, V Singh Afrika Matematika 29 (7), 1019-1038 , 2018 2018 Citations: 98
Class of dual to ratio estimators for double sampling M Kumar, S Bahl Statistical Papers 47 (2), 319 , 2006 2006 Citations: 40
Coupled fixed point theorems in complex valued metric spaces SM Kang, M Kumar, P Kumar, S Kumar Int. J. Math. Anal 7 (46), 2269-2277 , 2013 2013 Citations: 36
, Some common fixed point theorems using (CLRg)-property in cone metric spaces PKSK Manoj Kumar Advances in Fixed Point Theory 2 (no. 3), 340–356 , 2012 2012 Citations: 21
Common fixed point theorems in complex valued metric spaces M Kumar, P Kumar, S Kumar Journal of Analysis and Number theory 2 (2), 103-109 , 2014 2014 Citations: 18
Coincidence and common fixed point results via simulation functions in G-metric spaces M Kumar, S Arora, M Imdad, WM Alfaqih J. Math. Comput. Sci 19 (4), 288-300 , 2019 2019 Citations: 17
A new approach to the study of fixed point theorems for simulation functions in G-metric spaces M Kumar, R Sharma Boletim da Sociedade Paranaense de Matemática 37 (2), 115-121 , 2019 2019 Citations: 17
Ulam–Hyers Stability and Well-Posedness of Fixed Point Problems in C *-Algebra Valued Bipolar b -Metric Spaces M Kumar, P Kumar, A Mutlu, R Ramaswamy, OAA Abdelnaby, ... Mathematics 11 (10), 2323 , 2023 2023 Citations: 13
Fixed point theorems for modified generalized F-contraction in G-metric spaces M Kumar, S Arora Boletim da Sociedade Paranaense de Matemática 40, 1-8 , 2022 2022 Citations: 8
Common fixed point theorems for weakly compatible mappings in complex valued metric spaces PKSK Manoj Kumar, Shin Min Kang International journal of pure and applied mathematics 92 (no. 3), 403-419 , 2014 2014 Citations: 8
Time-fractional (2+ 1)-dimensional navier-stokes equations: Similarity reduction and exact solutions for one-parameter lie group of rotations P Verma, S Pandit, M Kumar, V Kumar, P Poonam Physica Scripta 98 (7), 075233 , 2023 2023 Citations: 7
( α − ψ ) Meir–Keeler Contractions in Bipolar Metric Spaces M Kumar, P Kumar, R Ramaswamy, OAA Abdelnaby, A Elsonbaty, ... Mathematics 11 (6), 1310 , 2023 2023 Citations: 6
Evaluation of analgesic effect of apigenin in rodent A Mondal, H Dikshit, L Mohan, H Mishra, M Kumar, M Ahmad, M Kumar Int J Pharm Sci Rev Res 72 (1), 155-159 , 2022 2022 Citations: 6
Common Fixed Point Theorems for Four Self-Maps Satisfying ( CLR ST )- Property in b-Metric Spaces S Arora, S Mishra, M Kumar, Heena Journal of Physics: Conference Series 1531 (1), 012083 , 2020 2020 Citations: 6
Some fixed point theorems under EA and (CLR) properties on C∗-algebra valued metric spaces M Kumar, M Imdad, M Asim Inf. Sci. Lett 9 (2), 75-82 , 2020 2020 Citations: 6
New Type of Coincidence and Common Fixed-Point Theorems for Modified α-Admissible z-Contraction Via Simulation Function. S Arora, M Kumar, S Mishra Journal of Mathematical & Fundamental Sciences 52 (1) , 2020 2020 Citations: 6
On the power of simulation map for almost Z− contraction in G-metric space with applications to the solution of the integral equation M Kumar, S Arora, S Mishra Italian Journal of Pure and Applied Mathematics 44, 639-648 , 2020 2020 Citations: 6
Fixed point theorems for φ-WEAKLY expansive mappings in metric spaces SM Kang, M Kumar, P Kumar, S Kumar International Journal of Pure and Applied Mathematics 90 (2), 143-152 , 2014 2014 Citations: 6
Some common fixed point theorems in generalized metric spaces M Kumar, P Kumar, S Kumar Journal of Mathematics 2013 (1), 719324 , 2013 2013 Citations: 6
Boyd-Wong type contractions in generalized parametric bipolar metric space M Kumar, O Ege, V Mor, P Kumar, M De la Sen Heliyon 10 (2) , 2024 2024 Citations: 5
