Krasnosel’skii iterative process for approximating fixed points of generalized Bianchini mappings in Banach space and applications to variational inequality and split feasibility problems

Abstract

In this paper, we establish existence, uniqueness, and convergence results for approximating fixed points using a Krasnosel’skii iterative process for generalized Bianchini mappings in Banach spaces. Additionally, we demonstrate the practical applications of our main fixed point theorems by solving variational inequality problems, split feasibility problems, and certain linear systems of equations.