Approximation Method for Solutions of Multivalued Operators with Application

Abstract

We establish new variants of Krasnosel'skii-type theorems for the sum of multivalued operators under weak topological conditions. The primary aim of this work is to investigate the existence of solutions to operator equations by employing the approximation method. In addition, we provide an illustrative application that highlights the effectiveness and relevance of our approach. The results obtained here extend and refine several earlier contributions in the literature.