Implicit Multifunction Theorems in Banach Spaces

This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property, nonemptiness, and lower semicontinuity of implicit...

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Vydáno v:Journal of Applied Mathematics Ročník 2014; číslo 2014; s. 901 - 907-884
Hlavní autoři: Yang, Ming-ge, Xu, Yi-fan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cairo, Egypt Hindawi Limiteds 01.01.2014
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Témata:
Banach space
Banach spaces
Economic models
Error analysis
Functional equations
Functions
Mathematical analysis
Mathematical research
Regularity
Theorems
Variational principles
ISSN:1110-757X, 1687-0042
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Shrnutí:This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present new sufficient conditions for the local metric regularity, metric regularity, Lipschitz-like property, nonemptiness, and lower semicontinuity of implicit multifunctions in general Banach spaces. The basic tools of our analysis involve the Ekeland variational principle, the Clarke subdifferential, and the Clarke coderivative.
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ISSN:1110-757X
1687-0042
DOI:10.1155/2014/892641