Afif Ben Amar and Donal O'Regan; Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications, Cham: Springer, 2016, , x+194 p. ISBN: 978-3-319-31947-6/hbk; 978-3-319-31948-3/ebook.

Abstract

The present book on fixed points focusses on applications to integral equations and to nonlinear eigenvalue problems. Since the main context is functional analytic, the authors devoted the first chapter of the book, Basic concepts, to the presentation of some basic notions and results in functional analysis { normed spaces, ordered vector spaces and ordered normed spaces, locally convex spaces, weak topologies (weak compactness, Dunford-Pettis property), compact and weakly compact operators. The chapter ends with some fixed point theorems - Krasnoselskii's, Leray-Scahuder theory, and fixed points for multivalued maps. Although some proofs are included, the majority of the results are presented without proofs.