I Rajasekaran

EDUCATION

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

RESEARCH INTERESTS

Generalized topology

Scopus Publications

WEAK FORM OF IDEAL NANO TOPOLOGICAL SPACES FOR SEMI-LOCAL FUNCTIONS
SCIK Publishing Corporation



On a new class of semi generalized closed sets in strong generalized topological spaces
G. Selvi and I. Rajasekaran
Union of Researchers of Macedonia
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.


On nano M<inf>r</inf>-set and nano M<inf>r</inf>*-set in nanotopological spaces
I. Rajasekaran, G. Selvi, and B. Revathi
Union of Researchers of Macedonia
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.


Decompositions of πg-continuity via ideal nano topological spaces
O. Nethaji, R. Asokan, and I. Rajasekara
Union of Researchers of Macedonia
In this paper, we introduce and discuss some notions of Inπg-closed sets, Inπg-continuity in ideal nano spaces.

RECENT SCHOLAR PUBLICATIONS

Weak form of ideal nano Topological spaces for semi- local functions
GSIR P.Gayathri
Advances in Fixed Point Theory 14 (58), 1-10 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



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



CLOSED MAPPING IN FUZZY TOPOLOGICAL SPACES
SCIR S. Jackson
International Conference on Applied Mathematics and Computing (ICAMC2023), 15-18 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



On δ-open sets in ideal nano topological spaces
NSRAI Rajasekaran
Ratio Mathematica 45, 185-193 2023



SOME IMPROVISED SETS IN GRILL TOPOLOGICAL SPACES
SJANDNS I. RAJASEKARAN, O. NETHAJI
ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (3), 207-211 2022



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



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



SOME PERFECT SETS IN IDEAL NANO TOPOLOGICAL SPACES
RAANDIR N. SEKAR
ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (2), 80-87 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



On Sp⋆ -open sets in ideal nano topological spaces
RAIR N. Sekar
Asia Mathematika 6 (2), 39-47 2022



ON Ⓢ-CLOSED SETS AND SEMI Ⓢ-CLOSED IN NANO TOPOLOGICAL SPACES
NSANDAP I. RAJASEKARAN
ANNALS OF COMMUNICATIONS IN MATHEMATICS 5 (1), 55-62 2022



On *b-open sets and *b-sets in nano topological space
I RAJASEKARAN
Asia Mathematika 5 (3), 84-88 2021



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



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



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



ON NANO Mr-SET AND NANO Mr⋆ SPACES -SET IN NANOTOPOLOGICAL
GSANDBR I. RAJASEKARAN
Advances in Mathematics: Scientific Journal 9 (11), 9345-9351 2020



Several Types of B#-closed Sets in Ideal Nanotopological Spaces
IR Raghavan Asokan , Ochanan Nethaji
Journal of New Theory 32, 55-61 2020



Weak forms of strongly nano open sets in ideal nanotopological spaces
I RAJASEKARAN
Asia Mathematika 5 (2), 96-102 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
Citations: 1134



The problem of deformity in spinal tuberculosis
S Rajasekaran
Clinical Orthopaedics and Related Research 398, 85-92 2002
Citations: 262



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
Citations: 164



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
Citations: 145



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
Citations: 140



Buckling collapse of the spine in childhood spinal tuberculosis
S Rajasekaran
Clinical Orthopaedics and Related Research 460, 86-92 2007
Citations: 109



Prestack processing of land data with complex topography
S Rajasekaran, GA McMechan
Geophysics 60 (6), 1875-1886 1995
Citations: 76



Buckling and vibration of axially functionally graded nonuniform beams using differential transformation based dynamic stiffness approach
S Rajasekaran
Meccanica 48, 1053-1070 2013
Citations: 74



Neural Networks, Fuzzy Logic and Genetic Algorithm: Synthesis and Applications; PHI Learning Pvt
S Rajasekaran, GAV Pai
Ltd.: New Delhi, India 2003
Citations: 35



On some new subsets of nano topological spaces
IRO Nethaji
Journal of New Theory, 52-58 2017
Citations: 29



GA Vijayalakshmi pai,“
S Rajasekaran
Neural Networks, Fuzzy logic and genetic algorithms 2003
Citations: 26



Simple Forms of Nano Open Sets in an Ideal Nano Topological Spaces
IRO Nethaji
Journal of new theory, 35-43 2018
Citations: 25



Tomographic estimation of the spatial distribution of statics
S Rajasekaran, GA McMechan
Geophysics 61 (4), 1198-1208 1996
Citations: 25



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
Citations: 20



Novel concept of ideal nanotopological spaces
RAIR O. Nethaji
Asia Mathematika 3 (3), 5-15 2019
Citations: 18



Neural Networks, Fuzzy Logic and Genetic Algorithms Synthesis and Applications
GV Pai, S Rajasekaran
Prentice Hall of India Pvt. Ltd 2006
Citations: 18



New generalized classes of ideal nanotoplogical spaces
RAIR Ochanan Nethaji
Bulletin of the international mathematical virtual institute 9 (3), 543-552 2019
Citations: 17



Unified approach of several sets in ideal nanotopological spaces
IRO Nethaji
Asia Mathematika 3 (1), 70-78 2019
Citations: 16



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
Citations: 15



On Nano gβ-closed Sets
MMON I. Rajasekaran
International Journal of Mathematics And its Applications 5 (Issue 4–C), 377–382 2017
Citations: 14