2003年
Strong convergence of a proximal-type algorithm in a Banach space
SIAM JOURNAL ON OPTIMIZATION
- ,
- 巻
- 13
- 号
- 3
- 開始ページ
- 938
- 終了ページ
- 945
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1137/S105262340139611X
- 出版者・発行元
- SIAM PUBLICATIONS
In this paper, we study strong convergence of the proximal point algorithm. It is known that the proximal point algorithm converges weakly to a solution of a maximal monotone operator, but it fails to converge strongly. Then, in [Math. Program., 87 (2000), pp. 189 202], Solodov and Svaiter introduced the new proximal-type algorithm to generate a strongly convergent sequence and established a convergence property for it in Hilbert spaces. Our purpose is to extend Solodov and Svaiter's result to more general Banach spaces. Using this, we consider the problem of finding a minimizer of a convex function.
- リンク情報
- ID情報
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- DOI : 10.1137/S105262340139611X
- ISSN : 1052-6234
- Web of Science ID : WOS:000181475800016