GENERALIZED UNIQUE FIXED POINT RESULTS IN GENERALIZED FUZZY METRIC SPACES

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.