Existence of a solution of integral equations via fixed point theorem
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Date
2013
Journal Title
Journal ISSN
Volume Title
Publisher
Springeropen
Abstract
In this paper, we establish a solution to the following integral equation: u(t) = integral(T)(0) G(t, s)f(s, u(s)) ds for all t is an element of [0,T], (1) where T > 0, f : [0, T] x R -> R and G : [0, T] x [0, T] -> [0, infinity) are continuous functions. For this purpose, we also obtain some auxiliary fixed point results which generalize, improve and unify some fixed point theorems in the literature.
Description
Gulyaz, Selma/0000-0002-1876-6560; KARAPINAR, ERDAL/0000-0002-6798-3254
Keywords
cyclic representation, fixed point
Turkish CoHE Thesis Center URL
Citation
4
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Q1