Well-Posedness Of Common Fixed Point Theorem For Three and Four Mappings Under Strict Contractive Conditions In Fuzzy metric Space

TL;DR

This paper establishes the well-posedness of common fixed points for three and four mappings in fuzzy metric spaces using strict contractive conditions, extending fixed point theory in fuzzy contexts.

Contribution

It develops the well-posedness theory for common fixed points in fuzzy metric spaces for multiple mappings, which was not previously studied.

Findings

Proved unique common fixed points for three mappings under strict contractive conditions.

Extended fixed point results to four mappings in fuzzy metric spaces.

Used weak compatibility, implicit relations, and property (E.A.) in proofs.

Abstract

None has studied the well-posedness of common fixed points in fuzzy metric space. In this paper, our target is to develop the well-posedness of common fixed points in fuzzy metric space. Also using weakly compatibility, implicit relation, property (E.A.) and strict contractive conditions, we have established the unique common fixed point for three self mappings and also for four self mappings in fuzzy metric space.