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Asymptotic Convergence Analysis of The Proximal Point Algorithm for Metrically Regular Mappings
https://hiroshima.repo.nii.ac.jp/records/2000868
https://hiroshima.repo.nii.ac.jp/records/2000868e7a7d4ae-a1cf-42a2-990d-ebf46347bb0f
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
B1112.pdf (202.4 KB)
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| Item type | デフォルトアイテムタイプ_（フル）(1) | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2023-03-18 | |||||||||
| タイトル | ||||||||||
| タイトル | Asymptotic Convergence Analysis of The Proximal Point Algorithm for Metrically Regular Mappings | |||||||||
| 言語 | en | |||||||||
| 作成者 |
Matsushita, Shin-ya
× Matsushita, Shin-ya
× Xu, Li
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| アクセス権 | ||||||||||
| アクセス権 | open access | |||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||
| 権利情報 | ||||||||||
| 権利情報 | (c) Copyright by IEEE SMC Hiroshima Chapter. | |||||||||
| 主題 | ||||||||||
| 主題Scheme | NDC | |||||||||
| 主題 | 500 | |||||||||
| 内容記述 | ||||||||||
| 内容記述 | This paper studies convergence properties of the proximal point algorithm when applied to a certain class of nonmonotone set-valued mappings. We consider an algorithm for solving an inclusion 0 ∈ T(x), where T is a metrically regular set-valued mapping acting from Rn into Rm. The algorithm is given by the follwoing iteration: x0 ∈ Rn and xk+1 = αkxk + (1 - αk)yk, for k = 0, 1, 2, . . ., where {αk} is a sequence in [0, 1] such that αk ≤ ¯α < 1, gk is a Lipschitz mapping from Rn into Rm and yk satisfies the following inclusion 0 ∈ gk(yk) - gk(xk) + T(yk). We prove that if the modulus of regularity of T is sufficiently small then the sequence generated by our algorithm converges to a solution to 0 ∈ T(x). | |||||||||
| 言語 | en | |||||||||
| 出版者 | ||||||||||
| 出版者 | IEEE SMC Hiroshima Chapter | |||||||||
| 言語 | ||||||||||
| 言語 | eng | |||||||||
| 資源タイプ | ||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_5794 | |||||||||
| 資源タイプ | conference paper | |||||||||
| 出版タイプ | ||||||||||
| 出版タイプ | VoR | |||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||
| 関連情報 | ||||||||||
| 識別子タイプ | URI | |||||||||
| 関連識別子 | http://www.hil.hiroshima-u.ac.jp/iwcia/2009/ | |||||||||
| 収録物識別子 | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 1883-3977 | |||||||||
| 開始ページ | ||||||||||
| 開始ページ | 270 | |||||||||
| 書誌情報 |
5th International Workshop on Computational Intelligence & Applications Proceedings : IWCIA 2009 5th International Workshop on Computational Intelligence & Applications Proceedings : IWCIA 2009 p. 270-273, 発行日 2009-11 |
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| 旧ID | 28451 | |||||||||
