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...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/892641 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832554536840986624 |
|---|---|
| author | Ming-ge Yang Yi-fan Xu |
| author_facet | Ming-ge Yang Yi-fan Xu |
| author_sort | Ming-ge Yang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-f32346eb1b084f55bf676ca9e1943ce8 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f32346eb1b084f55bf676ca9e1943ce82025-02-03T05:51:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/892641892641Implicit Multifunction Theorems in Banach SpacesMing-ge Yang0Yi-fan Xu1School of Management, Fudan University, Shanghai 200433, ChinaSchool of Management, Fudan University, Shanghai 200433, ChinaThis 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.http://dx.doi.org/10.1155/2014/892641 |
| spellingShingle | Ming-ge Yang Yi-fan Xu Implicit Multifunction Theorems in Banach Spaces Journal of Applied Mathematics |
| title | Implicit Multifunction Theorems in Banach Spaces |
| title_full | Implicit Multifunction Theorems in Banach Spaces |
| title_fullStr | Implicit Multifunction Theorems in Banach Spaces |
| title_full_unstemmed | Implicit Multifunction Theorems in Banach Spaces |
| title_short | Implicit Multifunction Theorems in Banach Spaces |
| title_sort | implicit multifunction theorems in banach spaces |
| url | http://dx.doi.org/10.1155/2014/892641 |
| work_keys_str_mv | AT minggeyang implicitmultifunctiontheoremsinbanachspaces AT yifanxu implicitmultifunctiontheoremsinbanachspaces |