GENERALIZED χ-CONTRACTION MAPPINGS ON SOFT NEUTROSOPHIC METRIC SPACES Palestine Journal of Mathematics, 2026
New Insights into Fixed Points Results in Neutrosophic Metric Like-Spaces and Their Applications M. Pandiselvi, Dr. M. Jeyaraman Statistics Optimization and Information Computing, 2026 This paper introduces and develops the concept of neutrosophic metric-like spaces, extending both intuitionistic fuzzy metric spaces and traditional metric-like spaces. These spaces offer a more comprehensive framework for exploring mathematical structures and their properties. Key topics such as sequence convergence, G-Cauchy sequences, contractive mappings, and fixed-point theorems are examined within this context. To demonstrate the practical significance and utility of the proposed framework, illustrative examples and a discussion of potential applications are provided.
Fixed Point Results in Neutrosophic n-Controlled Bipolar Metric Spaces M. Rathivel, C. Inbam, M. Jeyaraman Statistics Optimization and Information Computing, 2026 We present the idea of Neutrosophic n-Controlled Bipolar Metric space in this study. We use n-non-comparable functions to establish several fixed point results. Furthermore, we employ a version of the Banach contraction principle to extrapolate the conclusions and provide a few non-trivial examples. Subsequently, we apply the main findings to solve financial modeling problems in fractional differential equations.
A New Result of Statistical Convergence in Neutrosophic Generalized Metric Spaces V. B. Shakila, Dr. M. Jeyaraman Statistics Optimization and Information Computing, 2026 In this paper, we present the concept of G- metric space and further generalized to G-metric of nth order. We define the notion of Neutrosophic Generalized Metric Spaces (NGMS) of order n and present an example to prove this concept. Some characteristics of NGMS are also presented. Additionally we define Statistical Convergent and establish some related concepts.
On Fixed Points of Tirado-Type Contractions in k-Neutrosophic Metric Spaces N. Muthulakshmi, J. Johnsy, Dr. M. Jeyaraman Statistics Optimization and Information Computing, 2026 The notion of a generalized k-Neutrosophic Metric Spaces and its inherent characteristics are presented in this study. A new class of contraction mappings, termed Tirado-type k-neutrosophic contraction mappings, is defined, extending classical contraction principles to this novel framework. A fixed-point theorem is established under the G-completeness condition, and an illustrative example demonstrates the generalized naturalness of k-neutrosophic metric spaces. These findings bridge this gap, unifying and extending fixed-point theories in more generalized settings.
Analysis of Fixed Point Theorems for Contractive Mappings in Complex-Valued Neutrosophic Metric Spaces and Their Application Neutrosophic Sets and Systems, 2025
A Combined Study of Continuities and Boundedness in Neutrosophic Pseudo-Normed Linear Spaces M. Pandiselvi, M. Jeyaraman, M. Akram European Journal of Pure and Applied Mathematics, 2025 In this work, we investigate various notions of neutrosophic boundedness and continuity within the framework of neutrosophic pseudo normed linear spaces. Specifically, we introduce and analyze different types of neutrosophic continuity such as pointwise, uniform, and sequential neutrosophic continuity and examine their interrelationships. We also explore several forms of neutrosophic boundedness and establish connections between boundedness and continuity under neutrosophic settings. Illustrative examples are provided to demonstrate the applicability of the introduced concepts.
New Approach on Statistical Convergence of Triple Sequences in Neutrosophic Normed Spaces P. Jenifer, M. Jeyaraman Neutrosophic Sets and Systems, 2025 In this project the triple sequence’s statistical convergence within Neutrosophic normed space is proposed. Also, algebra of statistical limits and statistical cauchy sequences are discussed in this article. Furthermore, the article provides instances to back up a few definitions and theorems. We also looked at the special sequence space’s evidence of completeness.
Some Common Fixed Point Theorems in Neutrosophic Metric Spaces Pandiselvi. M Communications on Applied Nonlinear Analysis, 2025 In this article, we construct some fixed point results for pair of self mappings and occasionally weakly compatible mappings on neutrosophic metric spaces. In order to show the strength of these results, some motivating examples are established as well.
PICTURE FUZZY NORMED SPACES WITH FIBONACCI IDEAL CONVERGENCE OF DOUBLE SEQUENCES P. JENIFER, M. JEYARAMAN Journal of Inequalities and Special Functions, 2025 Our study reveals intriguing convergence patterns within the Fibonacci double sequences in picture fuzzy normed spaces. We demonstrate that while each component sequence exhibits unique convergence characteristics, collectively they converge towards a distinctive ideal represented by Fibonacci numbers. This ideal convergence aligns with the inherent properties of Fibonacci sequences, offering insights into the interplay between fuzzy normed spaces and the Fibonacci sequence.Also, the idea of Fibonacci I2- convergence on picture fuzzy normed spaces is explained in this article. With regard to picture fuzzy normed spaces, we define the Fibonacci I2-Cauchy sequences and I2-completeness.
COMMON FIXED POINT THEOREMS IN RIGHT COMPLETE DISLOCATED QUASI G− FUZZY METRIC SPACES South East Asian Journal of Mathematics and Mathematical Sciences, 2022
Common fixed point theorems in partial fuzzy metric spaces using contractive condition Advances in Mathematics Scientific Journal, 2019
Non-archimedean intuitionistic generalized fuzzy metric spaces by intuitionistic fuzzy ψ– Φ contractive mappings Advances in Mathematics Scientific Journal, 2019
Fixed point theorems for reciprocally continuous maps in generalized intuitionistic fuzzy metric spaces Advances in Mathematics Scientific Journal, 2019
Fixed point theorems in generalized b-fuzzy metric spaces for proximal contraction Advances in Mathematics Scientific Journal, 2019
Mathematical analysis of heat and mass transfer effects on steady mhd flow Advances in Mathematics Scientific Journal, 2019
Fixed point theorem in generalized fuzzy metric spaces for idempotent mappings Advances in Mathematics Scientific Journal, 2019
Some fixed point and coincident point theorem in generalized M - fuzzy metric space International Journal of Mathematical Analysis, 2009
RECENT SCHOLAR PUBLICATIONS
A New Approach to Fixed Point Results in Neutrosophic b -Metric Spaces with Application N Muthulakshmi, M Jeyaraman, M Dilshad, M Akram, D Filali Contemporary Mathematics, 3450-3472 , 2026 2026
Fixed Point Results in Neutrosophic n-Controlled Bipolar Metric Spaces M Rathivel, C Inbam, M Jeyaraman Statistics, Optimization & Information Computing , 2026 2026
New Insights into Fixed Points Results in Neutrosophic Metric Like-Spaces and Their Applications M Pandiselvi, M Jeyaraman Statistics, Optimization & Information Computing , 2026 2026
A New Result of Statistical Convergence in Neutrosophic Generalized Metric Spaces VB Shakila, M Jeyaraman Statistics, Optimization & Information Computing , 2026 2026
On Fixed Points of Tirado-Type Contractions in k-Neutrosophic Metric Spaces N Muthulakshmi, J Johnsy, M Jeyaraman Statistics, Optimization & Information Computing 15 (3), 1964-1975 , 2026 2026
NEUTROSOPHIC CONTROLLED METRIC-LIKE SPACES WITH APPLICATION ON NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION M Pandiselvi, M Jeyaraman, B Abdalla, K Shah, T Abdeljawad Nonlinear Functional Analysis and Applications, 961-989 , 2025 2025
A Study on Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces PS Jenifer, M Jeyaraman, S Jafari, A Pigazzini Axioms 14 (9), 659 , 2025 2025 Citations: 1
A Combined Study of Continuities and Boundedness in Neutrosophic Pseudo-Normed Linear Spaces M Pandiselvi, M Jeyaraman, M Akram European Journal of Pure and Applied Mathematics 18 (3), 6304-6304 , 2025 2025
Tauberian theorems in neutrosophic n-normed linear spaces via statistical Cesaro summability PS Jenifer, M Jeyaraman, S Jafari Calculation 1 (2), 117-129 , 2025 2025
A NOVEL APPROACH ON EXTENDED b-FUZZY METRIC SPACES AND FIXED POINT RESULTS WITH APPLICATION D Poovaragavan, M Jeyaraman, V Gupta, N Muthulakshmi Pesquisa Operacional 45, e290557 , 2025 2025
A Study of Fixed Point Results for Incompatible Mappings in Neutrosophic Double Controlled Metric Spaces with Application M Rathivel, M Jeyaraman, R Shukla International Journal of Analysis and Applications 23, 96-96 , 2025 2025 Citations: 1
Some results on deferred statistical convergence of double sequences in neutrosophic normed linear spaces P JENIFER, M JEYARAMAN, H AYDI Journal of Applied Mathematics, Statistics and Informatics 21 (2), 33 - 51 , 2025 2025
FIXED POINT RESULTS IN PARTIAL FUZZY METRIC SPACES S SOWNDRARAJAN, V GUPTA, M JEYARAMAN BOLETIM DA SOCIEDADE PARANAENSE DE MATEMATICA 43 , 2025 2025
On ‐Rung Orthopair Neutrosophic Metric Spaces and Topological Properties N Muthulakshmi, D Poovaragavan, M Jeyaraman, R Shukla Journal of Applied Mathematics 2025 (1), 1554812 , 2025 2025
Fixed Point Theorems in Neutrosophic F-Metric Spaces and Their Application M Pandiselvi, M Jeyaraman, M Akram European Journal of Pure and Applied Mathematics 18 (4), 6919-6919 , 2025 2025
FIXED POINT RESULTS FOR CONTRACTION MAPPINGS IN NEUTROSOPHIC 𝔖-METRIC SPACES FOR A SATELLITE WEB-COUPLING PROBLEM M PANDISELVI, M JEYARAMAN, M AKRAM Journal of applied mathematics & informatics 43 (5), 1549-1562 , 2025 2025
Fixed Point Results for Geraghty Type Contraction Mapping in Neutrosophic b ‐Metric Spaces M Pandiselvi, M Jeyaraman, R Shukla Abstract and Applied Analysis 2025 (1), 7942325 , 2025 2025
STUDY OF IMPULSIVE PROBLEM WITH CAPUTO FRACTIONAL DERIVATIVE INVOLVING NONLOCAL CONDITIONS USING FIXED POINT THEORY Swathi, D, Karthik, Raja, U, Jeyaraman, M, Kamal, Shah, Thabet, ... Nonlinear Functional Analysis and Applications 30 (2), 315 -329 , 2025 2025
PICTURE FUZZY NORMED SPACES WITH FIBONACCI IDEAL CONVERGENCE OF DOUBLE SEQUENCES. P JENIFER, M JEYARAMAN Journal of Inequalities & Special Functions 16 (1) , 2025 2025
Analysis of Fixed Point Theorems for Contractive Mappings in Complex-Valued Neutrosophic Metric Spaces and Their Application M Pandiselvi, M Jeyaraman, S Jafari, G Nordo, R Pincak Neutrosophic Sets and Systems 86 (1), 33 , 2025 2025
MOST CITED SCHOLAR PUBLICATIONS
Fixed Point Results for Contraction Theorems in Neutrosophic Metric Spaces S Sowndrarajan, M Jeyaraman, Florentin, Smarandache Neutrosophic Sets and Systems 36, 308 -318 , 2020 2020 Citations: 54
Common Fixed Point Results in Neutrosophic Metric Spaces Jeyaraman, M, Sowndrarajan, S Neutrosophic Sets and Systems, 42, 208 - 220 , 2021 2021 Citations: 18
Approximate fixed point theorems for weak contractions on neutrosophic normed spaces M Jeyaraman, A Ramachandran, VB Shakila Journal of computational mathematica 6 (1), 134-158 , 2022 2022 Citations: 15
Generalized Double Statistical Convergence Sequences onIdeals in Neutrosophic Normed Spaces Jeyaraman, M, Iswariya, S, Pandiselvi, R Neutrosophic Systems with Applications 8, 1- 11 , 2023 2023 Citations: 13
Hyers-Ulam-Rassias Stability for Functional Equation in Neutrosophic Normed Spaces. M Jeyaraman, AN Mangayarkkarasi, V Jeyanthi, R Pandiselvi International Journal of Neutrosophic Science (IJNS) 18 (1), 127 - 143 , 2022 2022 Citations: 13
Some fixed point and coincident point theorem in generalized M-fuzzy metric space T Veerapandi, M Jeyaraman, JPR Josph Int. Journal of Math. Analysis 3 (13), 627-635 , 2009 2009 Citations: 13
A new generalization of closed sets in bitopology Z Duszynski, M Jeyaraman, MS Joseph, O Ravi, ML Thivagar South Asian Journal of Mathematics 4 (5), 215-224 , 2014 2014 Citations: 12
Some Common Fixed Point Theorems For (Ø, Ψ)- Weak Contractions In Intuitionistic Generalized Fuzzy Cone Metric Spaces M Jeyaraman, S Sowndrarajan Malaya Journal of Matematik, 154 - 159 , 2019 2019 Citations: 11
Mathematical Analysis of the Predator-Prey Holling Type-II Effect of Fading Memory using a new approach to Homotopy perturbation method L SahayaAmalraj, V Ananthaswamy, S Narmatha, M Jeyaraman Journal of Xidian University 14 (3), 1715 - 1729 , 2020 2020 Citations: 10
Statistical∆ m-Convergence in Neutrosophic Normed Spaces M Jeyaraman, P Jenifer Journal of Computational Mathematica 7 (1), 46-60 , 2023 2023 Citations: 9
Intuitionistic fuzzy α generalized semi continuous and irresolute mappings M Jeyaraman, A Yuvarani, O Ravi International Journal of Analysis and Applications 3 (2), 93-103 , 2013 2013 Citations: 9
On Generalized Cesaro Summability Method In Neutrosophic Normed Spaces Using Two-Sided Taubarian Conditions. U Praveena, M Jeyaraman Journal of algebraic statistics 13 (3) , 2022 2022 Citations: 8
Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces M Jeyaraman, M Suganthi, W Shatanawi Mathematics (MDPI) 8 (8), 1 - 13 , 2020 2020 Citations: 8
Another generalization of closed sets in fuzzy topological spaces M Jeyaraman, J Rajalakshmi, O Ravi IJMA 4 (8) , 2013 2013 Citations: 8
Common Fixed Point Theorems In G-Fuzzy Metric Spaces M Jeyaraman, R Muthuraj, M Sornavalli, M Jeyabharathi Journal of New Theory 10, 12 - 18 , 2016 2016 Citations: 7
Some new structures in neutrosophic metric spaces M Jeyaraman, V Jeyanthi, AN Mangayarkkarasi, F Smarandache Neutrosophic Sets and Systems 42, 49-64 , 2021 2021 Citations: 6
Fixed point results in non-Archimedean generalized intuitionistic fuzzy metric spaces M Jeyaraman, M Suganthi, S Sowndrarajan Notes on Intuitionistic Fuzzy Sets 25 (4), 48 - 58 , 2019 2019 Citations: 6
Exploring profit opportunities in intuitionistic fuzzy metric spaces via Edelstein type mappings J Johnsy, M Jeyaraman, R Shukla, R Venkatesan International Journal of Analysis and Applications 22, 143-143 , 2024 2024 Citations: 5
Fixed Point Results in Complex Valued Neutrosophic b-Metric Spaces with Application M Pandiselvi, M Jeyaraman Neutrosophic systems with applications 17, 21-33 , 2024 2024 Citations: 5
Fixed Point Theorems Of Contractive Mappings In Neutrosophic B-Metric Spaces. VB Shakila, M Jeyaraman Journal of Algebraic Statistics 13 (3) , 2022 2022 Citations: 5