Continuous Selections for Multivalued Mappings with Closed Convex Images and Applications

Some existence theorems of continuous selections for multivalued mappings with closed convex images are proved. As some simple applications, we give some results on fixed points and differential inclusions. The results presented in this paper generalize some recent results.

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Published inJournal of mathematical analysis and applications Vol. 252; no. 1; pp. 402 - 409
Main Authors Li, Hong-xu, Huang, Fa-lun
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 01.12.2000
Elsevier
Subjects
closed convex set
continuous selection
differential inclusion
Exact sciences and technology
fixed point
Functional analysis
General topology
Mathematical analysis
Mathematics
multivalued mapping
partial lower semicontinuous
r-lower semicontinuous
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
continuous selection
differential inclusion
fixed point
multivalued mapping
r-lower semicontinuous
partial lower semicontinuous
closed convex set
Convex set
Compact space
Topological space
Selection
Functional analysis
Topology
Banach space
Application
Semicontinuous
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Abstract Some existence theorems of continuous selections for multivalued mappings with closed convex images are proved. As some simple applications, we give some results on fixed points and differential inclusions. The results presented in this paper generalize some recent results.
AbstractList Some existence theorems of continuous selections for multivalued mappings with closed convex images are proved. As some simple applications, we give some results on fixed points and differential inclusions. The results presented in this paper generalize some recent results.
Author Huang, Fa-lun
Li, Hong-xu
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Cites_doi 10.1090/S0002-9939-1985-0770557-1
10.2307/1969615
10.1016/0021-9045(92)90105-W
10.1016/0166-8641(93)90017-8
10.1007/BF02362519
10.1137/0514015
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Issue 1
Keywords continuous selection
differential inclusion
fixed point
multivalued mapping
r-lower semicontinuous
partial lower semicontinuous
closed convex set
Convex set
Compact space
Topological space
Selection
Functional analysis
Topology
Banach space
Application
Semicontinuous
Language English
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Semenov (RF9) 1996; 80
Deimling (RF5) 1985
Deutsch, Kenderov (RF2) 1983; 14
Aubin, Cellina (RF4) 1984
Gutev (RF6) 1993; 50
De Blasi, Myjak (RF3) 1985; 93
Przeslawski, Rybiński (RF7) 1992; 68
Repovs̆, Semenov (RF8) 1994; 49
Pasicki (RF10) 1997; 45
Repovs̆ (10.1006/jmaa.2000.7086_RF8) 1994; 49
Michael (10.1006/jmaa.2000.7086_RF1) 1956; 63
De Blasi (10.1006/jmaa.2000.7086_RF3) 1985; 93
Aubin (10.1006/jmaa.2000.7086_RF4) 1984
Pasicki (10.1006/jmaa.2000.7086_RF10) 1997; 45
Deutsch (10.1006/jmaa.2000.7086_RF2) 1983; 14
Gutev (10.1006/jmaa.2000.7086_RF6) 1993; 50
Deimling (10.1006/jmaa.2000.7086_RF5) 1985
Semenov (10.1006/jmaa.2000.7086_RF9) 1996; 80
Przeslawski (10.1006/jmaa.2000.7086_RF7) 1992; 68
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Snippet Some existence theorems of continuous selections for multivalued mappings with closed convex images are proved. As some simple applications, we give some...
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StartPage 402
SubjectTerms closed convex set
continuous selection
differential inclusion
Exact sciences and technology
fixed point
Functional analysis
General topology
Mathematical analysis
Mathematics
multivalued mapping
partial lower semicontinuous
r-lower semicontinuous
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Title Continuous Selections for Multivalued Mappings with Closed Convex Images and Applications
URI https://dx.doi.org/10.1006/jmaa.2000.7086
Volume 252
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