Continuous selections and retractive representations for the fixed points sets of set valued Reich's contractions

摘要

We refine a continuous selection approach adopted earlier to fixed points of set valued Banach's contractions. An extension of selection and representation results to continuous set valued Reich's contractions is given. A new Krasnoselskii - Melvin type fixed point theorem is stated as a corollary. (C) 2019 Elsevier Inc. All rights reserved.