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SOME FIXED POINT THEOREMS IN GENERALIZED DARBO FIXED POINT THEOREM AND THE EXISTENCE OF SOLUTIONS FOR SYSTEM OF INTEGRAL EQUATIONS
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 Title & Authors
SOME FIXED POINT THEOREMS IN GENERALIZED DARBO FIXED POINT THEOREM AND THE EXISTENCE OF SOLUTIONS FOR SYSTEM OF INTEGRAL EQUATIONS
Arab, Reza;
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 Abstract
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.
 Keywords
measure of noncompactness;fixed point;coupled fixed point;system of integral equations;
 Language
English
 Cited by
1.
Existence of solutions for a class of system of functional integral equation via measure of noncompactness, Journal of Computational and Applied Mathematics, 2017, 313, 129  crossref(new windwow)
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