Fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces and its applications
type: Item
instance of: scholarly article
title: Fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex spaces and its applications
zbMATH Open document ID: 0632.47039
DOI: 10.1007/BF02018546
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1987-01-01T00:00:00Z
review text: This is basically author's abstract. The author defines a concept of fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex space. He states that this fixed point index satisfies the usual properties of a fixed point theory. Using this concept, the author proves several nonzero fixed point theorems of set-valued \(\phi\)- condensing mappings. These theorems extend some known results.
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 47H09
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 55M20
Mathematics Subject Classification ID: 54H25
zbMATH DE Number: 4028230
zbMATH Keywords: upper semi-continuous
zbMATH Keywords: fixed point index of ultimately compact set-valued mappings in Hausdorff locally convex space
zbMATH Keywords: set-valued \(\phi \)-condensing mappings
author: Xieping Ding
reviewed by: Daciberg Lima Gonçalves
MaRDI profile type: Publication
cites work: Fixed Point Theorems and the Fixed Point Index for Multivalued Mappings in Cones
cites work: A Degree Theory, Fixed Point Theorems, and Mapping Theorems for Multivalued Noncompact Mappings
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cites work: Q3874719
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cites work: A fixed point theorem with application to an infectious disease model
full work available at URL: https://doi.org/10.1007/bf02018546
OpenAlex ID: W2091747317
description: scientific article; zbMATH DE number 4028230