Analysis of global solution of functional fuzzy integral equations using Krasnoselskii-Burton fixed point theorem

摘要

Fixed point theorems are very important and advantageous concepts in mathematical analysis. In this paper, we establish Krasnoselskii-Burton fixed point theorem for fuzzy Banach space. Using fuzzy Krasnoselskii-Burton and applying some notions and definitions in fuzzy functions and fuzzy normed space such as compactness and convexity of fuzzy sets, contraction fuzzy mappings and equicontinuous fuzzy functions we prove the existence of global solution of functional fuzzy integral equations.