Existence of a solution of integral equations via fixed point theorem

Selma Gülyaz, Erdal Karapınar, Vladimir Rakocević, Peyman Salimi
2013 Journal of Inequalities and Applications  
In this paper, we establish a solution to the following integral equation: and G : [0, T] × [0, T] → [0, ∞) 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. MSC: 47H10; 54H25
doi:10.1186/1029-242x-2013-529 fatcat:zuuftcus25cprnljvs3ads7dqe