A Study on Existence of Fixed Points in Intuitionistic Fuzzy Strong b-Metric Spaces

Abstract

This research paper establishes the existence of fixed points for mappings in intuitionistic fuzzy strong b-metric spaces, advancing the understanding of these mathematical structures. We introduce some theorems that provide sufficient conditions for the existence of unique fixed points. These theorems introduce approaches to ensuring the existence and uniqueness of fixed points for mappings in intuitionistic fuzzy strong b-metric spaces under specific contractive conditions. Illustrative examples provided to support our findings. These findings contribute to the advancement of fixed point theory in intuitionistic fuzzy strong b-metric spaces, offering new insights and potential applications in mathematical modeling and optimization problems. The results provide valuable insights for researchers and mathematicians working in related areas.