Abstract

In this paper, we introduce a new class of fuzzy interpolative Hardy– Rogers type contractions in the frameworks of fuzzy metric spaces and partial fuzzy metric spaces. We establish fixed point theorems guaranteeing the existence and uniqueness of fixed points under suitable contractive conditions involving control parameters. The obtained results extend and unify several known results in the literature, including classical Hardy–Rogers type contractions in fuzzy and partial fuzzy settings. Illustrative examples are also provided to demonstrate the applicability of the proposed results.

Keywords and Phrases

Fuzzy metric space, interpolative Hardy-Rogers contraction, partial fuzzy metric space, fixed point.

A.M.S. subject classification

47H10, 49T99, 54H25.

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