Topology and approximate fixed points
type: Item
instance of: scholarly article
title: Topology and approximate fixed points
zbMATH Open document ID: 1492.54018
DOI: 10.1007/978-3-030-92204-7
author: Afif Ben Amar
author: Donal O'Regan
published in: Developments in Mathematics
publication date: 2022-02-09T00:00:00Z
review text: Approximate fixed point results arise naturally in the study of some problems in economics and game theory, and one can apply them to asymptotic fixed point theory and to the study of the existence of limiting-weakly solutions for differential equations in reflexive Banach spaces. The book has five main Chapters: 1. Basic Concepts (Topological Vector Spaces); 2. Almost Fixed Points; 3. Approximate Fixed Points in Ultrametric Spaces; 4. Synthetic Approaches to Problems of Fixed Points; 5. Approximate Fixed Points in Topological Vector Spaces. The book is very well written, with accurate and detailed arguments in the proofs and inspiring interpretations of the statements of the results. This book is a valuable resource for graduate students who wish to learn about advanced topology and fixed point theory but it will also be useful to researchers in the area.
Mathematics Subject Classification ID: 54H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 57N17
Mathematics Subject Classification ID: 54-02
zbMATH DE Number: 7471540
zbMATH Keywords: topology
zbMATH Keywords: approximate fixed point
reviewed by: Jarosław Górnicki
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-030-92204-7
OpenAlex ID: W4207035929
description: scientific article; zbMATH DE number 7471540