GENERALIZED UNIQUE FIXED POINT RESULTS IN GENERALIZED FUZZY METRIC SPACES

• DOI: 10.54379/jma-2024-6-3
• Publication Date: 2025-01-20T18:17:26Z
• Authors: Saif Ur Rehman; Abeer Jaradat; ; Sidra Akbar; ; Sidra Atta; ; Bosko Damjanovic; ; Mohammed Jaradat

This paper aims to establish some basic properties and generalized unique fixed point (FP) theorems on generalized fuzzy metric spaces (GFM-spaces) by using the rectangular property of the generalized fuzzy metric without the continuity of self-mappings. In support of our results, we present nontrivial illustrative unique FP examples for single-valued contractive type mappings on complete GFM-spaces. This work can be further improved and extend for different types of single-valued mappings on GFM-spaces with supportive trivial and nontrivial illustrative examples.