Solving a Class of Integral Equations via Contractive Mapping with Rational Type

Abdullah Abdullah, Muhammad Sarwar, Zead Mustafa, Mohammed M.M. Jaradat

Abstract

In this paper, using rational type contractive conditions, the existence and uniqueness of common coupled fixed point theorem in the set up of Gb-metric spaces is studied. The derived result cover and generalize some well-known comparable results in the existing literature. Then we use the derived results to prove the existence and uniqueness solution for some classes of integral equations. Further more, an example of such type of integral equation is presented.

Keywords

Integral equations, Complete Gb-metric space, Cauchy sequence, common coupled fixed point.

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