Implicit Multifunction Theorems in Banach Spaces
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-09
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yang, Ming-ge& Xu, Yi-fan. 2014. Implicit Multifunction Theorems in Banach Spaces. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-505943
Modern Language Association (MLA)
Yang, Ming-ge& Xu, Yi-fan. Implicit Multifunction Theorems in Banach Spaces. Journal of Applied Mathematics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-505943
American Medical Association (AMA)
Yang, Ming-ge& Xu, Yi-fan. Implicit Multifunction Theorems in Banach Spaces. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-505943
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505943