Implicit multifunction theorems in complete metric spaces

In this paper, we establish some new characterizations of metric regularity of implicit multifunctions in complete metric spaces by using lower semicontinuous envelopes of the distance functions to set-valued mappings. Through these new characterizations it is possible to investigate implicit multif...

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Vydané v:Mathematical programming Ročník 139; číslo 1-2; s. 301 - 326
Hlavní autori: Huynh, van Ngai, Nguyen, Huu Tron, Théra, Michel
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Berlin/Heidelberg Springer-Verlag 01.06.2013
Springer Nature B.V
Springer Verlag
Predmet:
Analysis
Banach spaces
Calculus of Variations and Optimal Control; Optimization
Combinatorics
Computer science
Derivatives
Full Length Paper
Functions (mathematics)
Inequality
Mathematical analysis
Mathematical and Computational Physics
Mathematical functions
Mathematical Methods in Physics
Mathematical programming
Mathematics
Mathematics and Statistics
Mathematics of Computing
Metric space
Numerical Analysis
Perturbation methods
Regularity
Stability
Studies
Theorems
Theoretical
Generalized equations
Perturbation stability
90C30
49J53
49J52
Error bound
Implicit multifunction
Metric regularity
ISSN:0025-5610, 1436-4646
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Popis
Shrnutí:In this paper, we establish some new characterizations of metric regularity of implicit multifunctions in complete metric spaces by using lower semicontinuous envelopes of the distance functions to set-valued mappings. Through these new characterizations it is possible to investigate implicit multifunction theorems based on coderivatives and on contingent derivatives as well as the perturbation stability of implicit multifunctions.
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ISSN:0025-5610
1436-4646
DOI:10.1007/s10107-013-0673-9