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

Article type: Research Article

Authors: Sadatrasoul, S.M. | Ezzati, Reza^*

Affiliations: Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

Correspondence: [*] Corresponding author. Reza Ezzati, Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran. E-mail: ezati@kiau.ac.ir.

Abstract: 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.

Keywords: Fixed point theorem, convex fuzzy set, functional fuzzy integral equations, global solutions, fuzzy operator equations

DOI: 10.3233/IFS-151989

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 4, pp. 2203-2212, 2016