New results on coupled fixed point theory in metric spaces endowed with a directed graph
New results on coupled fixed point theory in metric spaces endowed with a directed graph
The purpose of this paper is to present some existence results for coupled fixed points of contraction type operators in metric spaces endowed with a directed graph. Our results generalize the results obtained by Gnana Bhaskar and Lakshmikantham in (Nonlinear Anal. 65:1379-1393, 2006). As an application, the existence of a …