Fixed point theorems and fixed point index for countably condensing maps
type: Item
instance of: scholarly article
title: Fixed point theorems and fixed point index for countably condensing maps
zbMATH Open document ID: 0964.47025
DOI: 10.12775/TMNA.1999.018
published in: Topological Methods in Nonlinear Analysis
publication date: 2000-05-08T00:00:00Z
review text: The fixed point index is introduced under certain compactness assumptions on countable sets. The author proves many important theorems, statements which are equivalent, properties for the index of \((F,\Omega)\) (fixed point property, homotopy invariance, additivity, normalization, restriction) and obtains a generalization of the Fredholm alternative.
reviewed by: Nicoleta Negoescu
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H11
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47B07
Mathematics Subject Classification ID: 47H07
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 47H04
zbMATH DE Number: 1441655
zbMATH Keywords: countably condensing operator
zbMATH Keywords: degree theory
zbMATH Keywords: measure of noncompactness
zbMATH Keywords: multivalued mapping
zbMATH Keywords: Fredholm operator
zbMATH Keywords: positive operator
zbMATH Keywords: fixed point property
zbMATH Keywords: fixed point index
zbMATH Keywords: compactness
zbMATH Keywords: homotopy invariance
zbMATH Keywords: additivity
zbMATH Keywords: normalization
zbMATH Keywords: restriction
zbMATH Keywords: Fredholm alternative
author: Martin Väth
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1441655