SOME FIXED POINT THEOREMS IN GENERALIZED DARBO FIXED POINT THEOREM AND THE EXISTENCE OF SOLUTIONS FOR SYSTEM OF INTEGRAL EQUATIONS

Title & Authors
SOME FIXED POINT THEOREMS IN GENERALIZED DARBO FIXED POINT THEOREM AND THE EXISTENCE OF SOLUTIONS FOR SYSTEM OF INTEGRAL EQUATIONS
Arab, Reza;

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.
Monotone solutions of iterative fractional equations found by modified Darbo-type fixed-point theorems , Journal of Fixed Point Theory and Applications, 2017
2.
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
3.
The behaviour of measures of noncompactness in $$L^\infty ({\mathbb {R}}^n)$$ L ∞ ( R n ) with application to the solvability of functional integral equations, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2017
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