Some Variants of Krasnoselskii-Type Fixed Point Results for Equiexpansive Mappings with Applications

In this paper, we investigate the Krasnoselskii-type fixed point results for the operator F of two variables by assuming that the family {F(x,.): x} is equiexpansive. The results may be considered as variants of the Krasnoselskii fixed point theorem in a general setting. We use our main results to obtain the existence of solutions of a fractional evolution differential equation. An example of a controlled system is given to illustrate the application.