Karapınar, ErdalGulyaz, SelmaKarapinar, ErdalRakocevic, VladimirSalimi, PeymanMathematics2024-07-052024-07-05201341029-242X10.1186/1029-242X-2013-5292-s2.0-84897633760https://doi.org/10.1186/1029-242X-2013-529https://hdl.handle.net/20.500.14411/397Gulyaz, Selma/0000-0002-1876-6560; KARAPINAR, ERDAL/0000-0002-6798-3254In 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.eninfo:eu-repo/semantics/openAccesscyclic representationfixed pointArticleQ1WOS:000327463000006