TRIPLED COMMON FIXED POINT THEOREMS IN PARTIALLY ORDERED b−METRIC SPACES AND ITS APPLICATION TO INTEGRAL EQUATIONS

Abstract

In this paper, we prove triple common fixed point theorems in partially ordered b-metric spaces depended on another function. The presented results generalize the theorem of Aydi, Karapinar and Mustafa [9], Berinde and Borcut [16], Borcut and Berinde [19] and Borcut [20]. Our results extend and improve several known results from the context of ordered metric spaces to the setting of ordered b-metric spaces. As an application, we prove the existence of a unique solution to a class of nonlinear integral equations.