Shahram Banaei - Department of mathematics, Bonab Branch, Islamic Azad University, Bonab, Iran

In this paper we extend Darbo's xed point theorem in Banach spaces and obtain a tripled xed pointtheorem. The technique of measure of noncompactness is the main tool in carrying out our proof. Finally,as an application of our results, we analyze the existence of solutions for a system of di erential equations.

Measure of noncompactness, Di erential equations, Fixed point theorem