International Journal of Nonlinear Analysis and Applications

A new extension of the Darbo theorem for the Schauder type selections with an application

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran

Abstract

In the present article, we provide a new nonlinear contraction for the Schauder type selections of multi-valued mappings in metric spaces which is a new spread of the Darbo theorem. Meanwhile, we apply the main results in coupled fixed-point theory and functional integral equation.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 10
October 2024
Pages 51-58
  • Receive Date: 13 October 2022
  • Revise Date: 11 February 2023
  • Accept Date: 28 May 2023