The Some Fixed Point Theorems in Fuzzy Metric Spaces

Abstract

In many areas of mathematics, including analysis, topology, optimization, and the applied sciences, fixed point theory is essential. Fuzzy metric spaces have become a potent expansion of classical metric spaces in recent decades to deal with ambiguity and uncertainty. Establishing some novel fixed point theorems for contractive type mappings in fuzzy metric spaces is the goal of this research. Several established fixed point theorems in both classical and fuzzy contexts are generalized by the results presented. Additionally, illustrative examples are given to show how the results might be applied.