A Fixed Point Theorem On Fuzzy Locally Convex Spaces

TL;DR

This paper establishes a fixed point theorem within fuzzy locally convex spaces, extending classical fixed point results to fuzzy seminormed linear spaces with continuous t-norms.

Contribution

It introduces a fixed point theorem specifically for fuzzy locally convex spaces, a novel extension in the theory of fuzzy functional analysis.

Findings

Proves a fixed point theorem in fuzzy locally convex spaces.

Extends classical fixed point results to fuzzy seminormed spaces.

Provides theoretical foundation for further research in fuzzy analysis.

Abstract

Let $X$ be a linear space over a field $\mathbb{K}$ and $(X, \rho, *)$ a fuzzy seminorm space where $(\rho, *)$ a fuzzy seminorm with $*$ a continuous $t$-norm. We give a fixed point theorem for Fuzzy Locally Convex Space.