Document Type : Research Paper

Authors

• Alireza Valipour Baboli ¹
• Mohammad Bagher Ghaemi ²

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

• Common fixed point theorem
• The Kuratowski measure of noncompactness
• Commuting map
• Darbo's contraction conditions