Analysis of Fixed Point Theorems for Contractive Mappings  in Complex-Valued Neutrosophic Metric Spaces  and Their Application

Muniyasamy Pandiselvi; Mathuraiveeran Jeyaraman; Saeid Jafari; Giorgio Nordo; Richard Pincak

Analysis of Fixed Point Theorems for Contractive Mappings in Complex-Valued Neutrosophic Metric Spaces and Their Application

Authors

Muniyasamy Pandiselvi PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India;
Mathuraiveeran Jeyaraman PG and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivagangai, Affiliated to Alagappa University, Karaikudi, Tamil Nadu, India;
Saeid Jafari Mathematical and Physical Science Foundation, 4200 Slagelse, Denmark;
Giorgio Nordo MIFT Department– Mathematical and Computer Science, Physical Sciences and Earth Sciences, University of Messina, 98166 Sant’Agata, Messina, Italy;
Richard Pincak Department of Physics, Institute of Experimental Physics, Slovak Academy of Sciences, Kosice, 043 53, Slovak Republic;

Keywords:

Complex-valued neutrosophic metric spaces, Fixed point theory, Contractive mappings, Neutro sophic sets, Fredholm integral equations.

Abstract

This paper introduces complex-valued neutrosophic metric spaces, extending the concepts of
complex-valued fuzzy and intuitionistic fuzzy metric spaces. We establish the existence and uniqueness of fixed points for mappings under various contractive conditions within this framework. To improve clarity, we present illustrative examples. Furthermore, we demonstrate the applicability of our findings by proving the existence of a unique solution for Fredholm integral equations, emphasizing their practical relevance in mathe matical analysis and applied sciences.

DOI: 10.5281/zenodo.15514421

Downloads

Download data is not yet available.

Downloads

Published

2025-08-01

Issue

Vol. 86 (2025): Neutrosophic Sets and Systems

Section

Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons Attribution (CC BY) license.

How to Cite

Muniyasamy Pandiselvi, Mathuraiveeran Jeyaraman, Saeid Jafari, Giorgio Nordo, & Richard Pincak. (2025). Analysis of Fixed Point Theorems for Contractive Mappings in Complex-Valued Neutrosophic Metric Spaces and Their Application. Neutrosophic Sets and Systems, 86, 523-540. https://fs.unm.edu/nss8/index.php/111/article/view/6414