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FIXED POINT THEOREM FOR A GENERALIZED $\mathcal{H}$ - $\mathcal{F}$-CONTRACTIVE MAPPING IN COMPLETE FUZZY METRIC SPACES
Keywords:
fixed point, fuzzy metric space, generalized -contractive mapping, generalized contractionDOI:
https://doi.org/10.17654/0972087126026Abstract
In this paper, we introduce a new class of mappings, called generalized $\mathcal{H}$ - $\mathcal{F}$-contractive mappings, within the framework of complete fuzzy metric spaces. Our approach generalizes existing fixed point results and establishes conditions under which a unique fixed point exists. Some examples are provided to demonstrate the applicability of our theorem. This work contributes to the ongoing development of fixed point theory in fuzzy metric spaces, particularly in the context of non-classical contractions.
Received: June 19, 2025
Revised: September 10, 2025
Accepted: October 6, 2025
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