| File | |
| language |
eng
|
| Author |
Suzuki, Satoshi
Department of Mathematics, Interdisciplinary Graduate School of Science and Engineering, Shimane University
|
| Description | In this paper, we study Fenchel duality for convex set functions. We de ne convex set functions in a simple way. We introduce Fenchel conjugate and investigate Fenchel duality in terms of convex
analysis on an embedding normed space of compact convex subsets. We compare our convex set functions with previous ones. In addition, we introduce robust approach for the uncertain problem as an application. |
| Subject | set function
convex analysis
embedding approach
Fenchel duality
|
| Journal Title |
Pure and applied functional analysis : an international journal
|
| Volume | 3
|
| Issue | 3
|
| Start Page | 505
|
| End Page | 517
|
| ISSN | 21893756
|
| ISSN（Online） | 21893756
|
| Published Date | 2018
|
| Publisher | 横浜図書
|
| Publisher Transcription | ヨコハマ トショ
|
| Publisher Aalternative | Yokohama Publishers
|
| NII Type |
Journal Article
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| Format |
PDF
|
| Resource URL(IsVersionOf) | http://www.yokohamapublishers.jp/online2/oppafa/vol3/p505.html
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| Text Version |
著者版
|
| OAI-PMH Set |
Faculty of Science and Engineering
|
