Some variants of Krasnoselskii-type fixed point results for equiexpansive mappings with applications (Q2236399)

Summary: In this paper, we investigate the Krasnoselskii-type fixed point results for the operator \(F\) of two variables by assuming that the family \(\{F(x , \cdot) : x\}\) 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.