Complex-valued double controlled metric like spaces with applications to fixed point theorems and Fredholm type integral equations

Abstract

In this paper we introduce the concept of complex-valued double controlled metric like spaces. These new results generalize and extend the corresponding results about complex-valued double controlled metric type spaces. We prove some complex-valued fixed point theorems in this new complex-valued metric like spaces and, as application, we give an existence and uniqueness of the solution of a Fredholm type integral equation result. Moreover, some examples are also presented in favor of our given results.

Keywords

• fixed point
• complex-valued double controlled metric like spaces
• fredholm type integral equations