Eigenvectors for nonlinear maps
type: Item
instance of: scholarly article
title: Eigenvectors for nonlinear maps
zbMATH Open document ID: 0812.47059
DOI: 10.12775/TMNA.1993.039
author: Mario Martelli
author: Gilles Fournier
published in: Topological Methods in Nonlinear Analysis
publication date: 1995-05-09T00:00:00Z
review text: The authors give a systematic and self-contained survey on nonlinear eigenvalue theory for mappings in Banach spaces. The presentation builds on topological degree and fixed point theory. Classes of operators considered are compact, condensing, and monotone (with respect to a cone) operators. Multivalued acyclic-valued operators are discussed as well.
reviewed by: Jürgen Appell
Mathematics Subject Classification ID: 47J10
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47H11
zbMATH DE Number: 591491
zbMATH Keywords: multivalued acyclic-valued operators
zbMATH Keywords: nonlinear eigenvalue theory
zbMATH Keywords: topological degree
zbMATH Keywords: fixed point theory
MaRDI profile type: Publication
full work available at URL: tmna.1993.039
OpenAlex ID: W2581713798
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description: scientific article; zbMATH DE number 591491