Applications of some new Krasnoselskii-type fixed-point results for generalized expansive and equiexpansive mappings

Abstract

We consider Omega as a subset of a Banach space W and Lambda as a function of Omega into W. Let F be a function whose image values lie in W and domain is Lambda(Omega) x Omega or Omega x Omega. In this paper, we establish some fixed-point results for a generalized expansive and equiexpansive operator F such that Omega subset of F(Lambda omega, Omega) or Omega subset of F(omega, Omega). We apply our results to acquire the solutions of fractional evolution equations and certain types of integral equations. We demonstrate our results with examples, and plot approximate and exact solutions with errors.