Generalized fixed-point results for fuzzy mappings in metric and extended fuzzy b-metric spaces

In this paper, we present new findings regarding the existence of fuzzy fixed points for fuzzy mappings in extended fuzzy b-metric spaces and complete metric spaces under different contraction conditions. The fuzzy fixed-point method serves as an effective tool for addressing problems characterized by uncertainty or imprecision, particularly in cases where classical fixed-point theories do not apply directly. We employ specialized contraction conditions within the fuzzy framework to obtain fixed-point results. To demonstrate the applicability and significance of our results, we provide several illustrative examples and applications. Our findings build upon and combine several established results in the field, providing a more comprehensive perspective.