Generalized fixed point theorems in fuzzy normed linear space

Abstract

This article presents a comprehensive study of fixed point theorems in the context of complete Fuzzy normed linear spaces. By extending and generalizing the framework of fixed point theory, we establish some theorems for three and four self-mappings that offer deeper insights into the interplay of fuzzy structures. Several definitions are introduced to facilitate the formulation and understanding of these theorems, along with illustrative examples to validate and demonstrate the applicability of the results.