Topology and Approximate Fixed Points (eBook)

This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of topologies and maps. Content includes known and recent results in topology (with proofs), as well as recent results in approximate fixed point theory.

Afif Ben Amar is a Professor in the Department of Mathematics, Faculty of Sciences, at the University of Sfax, Tunisia. His research interests lie in operator theory, fixed point theory, nonlinear spectral theory, partial differential equations, integral equations, and applications of mathematics to natural sciences. He co-authored (with Donal O'Regan) the book 'Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications', published by Springer.

Donal O'Regan is a Professor in the School of Mathematics, Statistics, and Applied Mathematics at the National University of Ireland, Galway. His research interests include differential equations, nonlinear analysis, and fixed point theory. He has authored several books, including the Springer titles 'Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications (with Afif Ben Amar) and 'An Introduction to Ordinary Differential Equations' (with Ravi P. Agarwal).