Open AccessSolving a Class of Integral Equations via Contractive Mapping with Rational Type
Author(s) -
Abdullah Abdullah,
Muhammad Sarwar,
Zead Mustafa,
Mohammed M. M. Jaradat
Publication year - 2020
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v13i4.3831
Subject(s) - mathematics , uniqueness , type (biology) , cover (algebra) , class (philosophy) , integral equation , pure mathematics , fixed point theorem , mathematical analysis , set (abstract data type) , discrete mathematics , mechanical engineering , ecology , artificial intelligence , computer science , engineering , biology , programming language
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.