Openness properties for parametric set-valued mappings and implicit multifunctions

The aim of this paper is to obtain some openness results in terms of normal coderivative for parametric set-valued mappings acting between infinite dimensional spaces. Then, implicit multifunction results are obtained by simply specializing the openness results. Moreover, we study a kind of metric r...

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Vydáno v:Nonlinear analysis Ročník 72; číslo 2; s. 571 - 579
Hlavní autor: Durea, M.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Amsterdam Elsevier Ltd 15.01.2010
Elsevier
Témata:
Exact sciences and technology
Implicit multifunctions
Mapping
Mathematical analysis
Mathematics
Metric regularity
Nonlinearity
Normal coderivative
Openness
Regularity
Sciences and techniques of general use
Set-valued mappings
Openness
49J52
Normal coderivative
90C29
90C26
Implicit multifunctions
Metric regularity
Set-valued mappings
Set-valued mapping
Nonlinear analysis
Mathematical model
ISSN:0362-546X, 1873-5215
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Shrnutí:The aim of this paper is to obtain some openness results in terms of normal coderivative for parametric set-valued mappings acting between infinite dimensional spaces. Then, implicit multifunction results are obtained by simply specializing the openness results. Moreover, we study a kind of metric regularity of the implicit multifunction. The results of the paper generalize several recent results in literature.
Bibliografie:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2009.06.105