Some Variants of Krasnoselskii-Type Fixed Point Results for Equiexpansive Mappings with Applications. (11th September 2021)

• Record Type: Journal Article
• Authors: Ahmad, Niaz; Mehmood, Nayyar; Al-Rawashdeh, Ahmed
• Other Names: Vetro Pasquale Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-09-11
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/2648057
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this paper, we investigate the Krasnoselskii-type fixed point results for the operator F of two variables by assuming that the family F x, . : x is equiexpansive. The results may be considered as variants of the Krasnoselskii fixed point theorem in a general setting. We use our main results to obtain the existence of solutions of a fractional evolution differential equation. An example of a controlled system is given to illustrate the application.