The existence theorem for a solution of a system of integral equations along with cyclical common fixed point technique

摘要

In this paper, we introduce the concept of generalized cyclic contraction pairs in b-metric spaces. We establish some fixed point results on b-metric spaces and also give some examples to illustrate the main results. As applications, we show the existence of a common solution for the following system of integral equations: where with , (the set of all continuous real value functions defined on ) and are mappings.