A generalization of Darbo's fixed point and common solutions of equations in Banach spaces

Abstract

In this paper, we present common fixed point theorems for commuting operators which generalize Darbo's and Sadovski's fixed point theorems. As example and application, we study the existence of common solutions of equations in Banach spaces using the measure of noncompactness. MSC: 47H10, 47H09. © 2013 Hajji; licensee Springer.