A common fixed point theorem via measure of noncompactness

نویسندگان
Valipour Baboli, Alireza ID 1
Ghaemi, Mohammad Bagher ID 2

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

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

doi
10.22075/ijnaa.2017.10595.1513
چکیده

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.

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