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- Title
Implicit Multifunction Theorems in Banach Spaces.
- Authors
Ming-ge Yang; Yi-fan Xu
- Abstract
This paper is mainly devoted to the study of implicit multifunction theorems in terms of Clarke coderivative in general Banach spaces. We present newsufficient conditions for the localmetric 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.
- Subjects
MATHEMATICS theorems; BANACH spaces; DERIVATIVES (Mathematics); METRIC geometry; VARIATIONAL principles
- Publication
Journal of Applied Mathematics, 2014, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2014/892641