International Journal of Nonlinear Analysis and Applications

A common fixed point theorem via measure of noncompactness

Document Type : Research Paper

Authors

1 Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran

2 Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

Abstract

In this paper by applying the measure of noncompactness a common fixed point for the maps $T$ and $S$ is obtained, where $T$ and $S$ are self maps continuous or commuting continuous on a closed convex subset $C$ of a Banach space $E$ and also $S$ is a linear map.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 2
November 2021
Pages 293-296
  • Receive Date: 14 December 2016
  • Revise Date: 05 January 2016
  • Accept Date: 18 February 2017