I Rajasekaran

@tdmnscollege.edu.in

Assistant Professor in Mathematics
Tirunelveli Dakshina Mara Nadar Sangam College

I Rajasekaran


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https://researchid.co/sekarmelakkal

EDUCATION

M.Sc., B.Ed., P.hD

RESEARCH INTERESTS

Generalized topology
5

Scopus Publications

2642

Scholar Citations

18

Scholar h-index

28

Scholar i10-index

Scopus Publications

  • SOME NEW SETS IN NANO SEMI-LOCAL FUNCTIONS
    , G. Selvi, I. Rajasekaran, and
    South East Asian Journal of Mathematics and Mathematical Sciences, 2024
    Ongoing research focuses on utilizing the existing generalized classes in nano semi-local functions within the framework of ideals. As part of this effort, we have successfully constructed and introduced new concepts and notions related to specific sets that address and handle semi-ideals within the space $\\mathbb{N}_\\star^X$. These new sets aim to expand the understanding and application of semi-ideal structures in this context. Additionally, further investigations are being carried out to explore semi-ideal nano topological spaces by leveraging the generalized classes already established in $\\mathbb{N}_\\star^X$. This research seeks to delve deeper into the properties, behavior, and potential applications of these spaces. Through this, we aim to develop a more comprehensive framework that integrates semi-ideal concepts into nano topology, thereby enriching the theoretical and practical dimensions of the field.
  • WEAK FORM OF IDEAL NANO TOPOLOGICAL SPACES FOR SEMI-LOCAL FUNCTIONS
    Advances in Fixed Point Theory, 2024
    In this paper we introduced ns-OS in a perfect nano topological space N ★ X , we define a nano semi-local function T n ★ (I,N). Several semi-local function characteristics and attributes and the new notions of (SI α n , SI s n , SI p n , SI b n and SI β n )-open sets, which are straightforward variations of n-open sets in N ★ X , are introduced and studied in this paper. Additionally, we describe the connections between them and the associated attributes.
  • On a new class of semi generalized closed sets in strong generalized topological spaces
    G. Selvi, I. Rajasekaran
    Advances in Mathematics Scientific Journal, 2020
    This paper deals with the concepts of semi generalized closed sets in strong generalized topological spaces such as $sg^{\\star \\star}_\\mu$-closed set, $sg^{\\star \\star}_\\mu$-open set, $g^{\\star \\star}_\\mu$-closed set, $g^{\\star \\star}_\\mu$-open set and studied some of its basic properties included with $sg^{\\star \\star}_\\mu$-continuous maps, $sg^{\\star \\star}_\\mu$-irresolute maps and $T_\\frac{1}{2}$-space in strong generalized topological spaces.
  • Decompositions of πg-continuity via ideal nano topological spaces
    O. Nethaji, R. Asokan, I. Rajasekara
    Advances in Mathematics Scientific Journal, 2020
    In this paper, we introduce and discuss some notions of Inπg-closed sets, Inπg-continuity in ideal nano spaces.
  • On nano Mr-set and nano Mr*-set in nanotopological spaces
    I. Rajasekaran, G. Selvi, B. Revathi
    Advances in Mathematics Scientific Journal, 2020
    In this paper, we introduce the notions of nano $\\mathcal{M}_r$-sets and nano $\\mathcal{M}_{r^\\star}$-sets in nanotopological spaces and their properties are discussed with suitable examples.

RECENT SCHOLAR PUBLICATIONS

  • NANO Ag-CLOSED SETS IN AN IDEAL NANOTOPOLOGICAL SPACE
    E Veeramalai, I Rajasekaran, M Navaneethakrishnan
    Journal of Science and Arts 25 (2), 289-298 , 2025
    2025
  • SOME NEW SETS IN NANO SEMI-LOCAL FUNCTIONS
    G Selvi, I Rajasekaran
    South East Asian Journal of Mathematics & Mathematical Sciences 20 (3) , 2024
    2024
    Citations: 1
  • Weak form of ideal nano Topological spaces for semi- local functions
    GSIR P.Gayathri
    Advances in Fixed Point Theory 14 (58), 1-10 , 2024
    2024
  • ON t*-SET AND B*-SET IN NANO TOPOLOGICAL SPACES
    SG SEKAR NARASIMMAN, ASOKAN RAGHAVAN, RAJASEKARAN ILANGOVAN
    Journal of Science and Arts 24 (1), 17-20 , 2024
    2024
  • A randomised controlled study on epidural morphine and bupivacaine for post-operative analgesia after transforaminal lumbar interbody fusion
    DR Kanna, DS Jakkepally, DAP Shetty, DS Rajasekaran
    Global Spine Journal 13 (7), 1926-1931 , 2023
    2023
    Citations: 4
  • CLOSED MAPPING IN FUZZY TOPOLOGICAL SPACES
    SCIR S. Jackson
    International Conference on Applied Mathematics and Computing (ICAMC2023), 15-18 , 2023
    2023
  • On regular closed sets in ideal nano topological spaces
    IR N. Sekar, R. Asokan, G. Selvi
    BULLETIN OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE 13 (1), 135–141 , 2023
    2023
    Citations: 2
  • On δ-open sets in ideal nano topological spaces
    NSRAI Rajasekaran
    Ratio Mathematica 45, 185-193 , 2023
    2023
  • SOME IMPROVISED SETS IN GRILL TOPOLOGICAL SPACES
    SJANDNS I. RAJASEKARAN, O. NETHAJI
    ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (3), 207-211 , 2022
    2022
    Citations: 6
  • Blockchain enabled anonymous privacy-preserving authentication scheme for internet of health things
    AS Rajasekaran, A Maria, M Rajagopal, J Lorincz
    Sensors 23 (1), 240 , 2022
    2022
    Citations: 35
  • ON SOME NANO SETS AND A DECOMPOSITION OF NANO CONTINUITY VIA IDEALIZATION
    I RAJASEKARAN
    BULLETIN OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE 12 (3), 453-460 , 2022
    2022
  • SOME PERFECT SETS IN IDEAL NANO TOPOLOGICAL SPACES
    RAANDIR N. SEKAR
    ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (2), 80-87 , 2022
    2022
  • PROPERTIES OF STRONGLY PRE-OPEN SETS IN IDEAL NANO TOPOLOGICAL SPACES
    RAANDIR N. SEKAR
    ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (2), 74-79 , 2022
    2022
  • On Sp⋆ -open sets in ideal nano topological spaces
    RAIR N. Sekar
    Asia Mathematika 6 (2), 39-47 , 2022
    2022
    Citations: 2
  • ON Ⓢ-CLOSED SETS AND SEMI Ⓢ-CLOSED IN NANO TOPOLOGICAL SPACES
    NSANDAP I. RAJASEKARAN
    ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (1), 55-62 , 2022
    2022
    Citations: 1
  • On *b-open sets and *b-sets in nano topological space
    I RAJASEKARAN
    Asia Mathematika 5 (3), 84-88 , 2021
    2021
    Citations: 5
  • ON NANO gs-CLOSED SETS AND NANO gs-CONTINUOUS FUNCTIONS
    ONSJ I. Rajasekaran
    BULLETIN OF THE INTERNATIONAL MATHEMATICAL VIRTUAL INSTITUTE 11 (3), 539-543 , 2021
    2021
    Citations: 1
  • A NEW CLASS OF STAR CLOSED SETS IN FUZZY TOPOLOGICAL SPACES
    SCIR S. Jackson
    Proceedings of National Web Conference on Challenges and Innovation in … , 2021
    2021
  • ON A NEW CLASS OF SEMI GENERALIZED CLOSED SETS IN STRONG GENERALIZED TOPOLOGICAL SPACES G.
    GSANDI RAJASEKARAN
    Advances in Mathematics: Scientific Journal 9 (11), 9353-9360 , 2020
    2020
  • ON NANO Mr-SET AND NANO Mr⋆ SPACES -SET IN NANOTOPOLOGICAL
    GSANDBR I. RAJASEKARAN
    Advances in Mathematics: Scientific Journal 9 (11), 9345-9351 , 2020
    2020

MOST CITED SCHOLAR PUBLICATIONS

  • Neural networks, fuzzy logic and genetic algorithm: synthesis and applications (with cd)
    S Rajasekaran, GAV Pai
    PHI Learning Pvt. Ltd. , 2003
    2003
    Citations: 1167
  • The problem of deformity in spinal tuberculosis
    S Rajasekaran
    Clinical Orthopaedics and Related Research® 398, 85-92 , 2002
    2002
    Citations: 272
  • Synthesis and analgesic evaluation of some 5-[β-(10-phenothiazinyl) ethyl]-1-(acyl)-1, 2, 3, 4-tetrazoles
    A Rajasekaran, PP Thampi
    European journal of medicinal chemistry 39 (3), 273-279 , 2004
    2004
    Citations: 168
  • Role of Na-K-ATPase in the assembly of tight junctions
    AK Rajasekaran, SA Rajasekaran
    American Journal of Physiology-Renal Physiology 285 (3), F388-F396 , 2003
    2003
    Citations: 147
  • Optimum linear estimation of stochastic signals in the presence of multiplicative noise
    PK Rajasekaran, N Satyanarayana, MD Srinath
    IEEE Transactions on Aerospace and Electronic Systems, 462-468 , 1971
    1971
    Citations: 139
  • Buckling collapse of the spine in childhood spinal tuberculosis.
    S Rajasekaran
    Clinical Orthopaedics and Related Research (1976-2007) 460, 86-92 , 2007
    2007
    Citations: 110
  • Prestack processing of land data with complex topography
    S Rajasekaran, GA McMechan
    Geophysics 60 (6), 1875-1886 , 1995
    1995
    Citations: 80
  • Buckling and vibration of axially functionally graded nonuniform beams using differential transformation based dynamic stiffness approach
    S Rajasekaran
    Meccanica 48 (5), 1053-1070 , 2013
    2013
    Citations: 77
  • Blockchain enabled anonymous privacy-preserving authentication scheme for internet of health things
    AS Rajasekaran, A Maria, M Rajagopal, J Lorincz
    Sensors 23 (1), 240 , 2022
    2022
    Citations: 35
  • Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces
    IRO Nethaji
    Journal of new theory, 35-43 , 2018
    2018
    Citations: 31
  • Neural Networks, Fuzzy Logic and Genetic Algorithm: Synthesis and Applications; PHI Learning Pvt
    S Rajasekaran, GAV Pai
    Ltd.: New Delhi, India , 2003
    2003
    Citations: 31
  • On some new subsets of nano topological spaces
    IRO Nethaji
    Journal of New Theory, 52-58 , 2017
    2017
    Citations: 30
  • GA Vijayalakshmi pai,“
    S Rajasekaran
    Neural Networks, Fuzzy logic and genetic algorithms , 2003
    2003
    Citations: 26
  • Tomographic estimation of the spatial distribution of statics
    S Rajasekaran, GA McMechan
    Geophysics 61 (4), 1198-1208 , 1996
    1996
    Citations: 24
  • Neural Networks, Fuzzy Logic and Genetic Algorithms Synthesis and Applications
    GV Pai, S Rajasekaran
    Prentice Hall of India Pvt. Ltd , 2006
    2006
    Citations: 22
  • New generalized classes of ideal nanotoplogical spaces
    RAIR Ochanan Nethaji
    Bulletin of the international mathematical virtual institute 9 (3), 543-552 , 2019
    2019
    Citations: 20
  • Genetic algorithm based weight determination for back-propagation networks
    S Rajasekaran, GA Vijayalakshmi Pai
    Proceedings of Fourth International Conference on Advanced Computing, 73-79 , 1996
    1996
    Citations: 19
  • New generalized classes of tau-omega
    I Rajasekaran, O Ravi, SS Kanna, M Paranjothi
    European Journal of Pure and Applied Mathematics 9 (2), 152-164 , 2016
    2016
    Citations: 18
  • Novel concept of ideal nanotopological spaces
    RAIR O. Nethaji
    Asia Mathematika 3 (3), 5-15 , 2019
    2019
    Citations: 17
  • Unified approach of several sets in ideal nanotopological spaces
    IRO Nethaji
    Asia Mathematika 3 (1), 70-78 , 2019
    2019
    Citations: 15