A Study on the Existence of Fixed Point Results for Some Fuzzy Contractions in Fuzzy Metric Spaces with Application

In this manuscript, we analyze fuzzy-fixed-point results for fuzzy-mappings under some fuzzy contraction conditions in the setting of a complete fuzzy metric space. Fuzzy-fixed-point techniques are used in mathematical modeling to solve problems where traditional methods fail due to imprecise or uncertain data. To obtain fuzzy-fixed-points, different contraction conditions are implemented in a fuzzy context. To emphasize the impact of our research, we have furnished several intriguing examples. Applications are also incorporated to furnish the results. Previous results are given as corollaries from the relevant research. Our results extend and combine many results that exist in a significant area of related research.