• Arab, Reza (Department of Mathematics, Sari Branch Islamic Azad University)
  • Received : 2014.04.05
  • Published : 2015.01.01


In this paper we introduce the notion of the generalized Darbo fixed point theorem and prove some fixed and coupled fixed point theorems in Banach space via the measure of non-compactness, which generalize the result of Aghajani et al. [6]. Our results generalize, extend, and unify several well-known comparable results in the literature. One of the applications of our main result is to prove the existence of solutions for the system of integral equations.


measure of noncompactness;fixed point;coupled fixed point;system of integral equations


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