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ファイル | 記述 | サイズ | フォーマット | |
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2011-16.pdf | 966.74 kB | Adobe PDF | 見る/開く |
タイトル: | Iterative Methods for Split Common Fixed Point Problems in Banach Spaces and Applications (Nonlinear Analysis and Convex Analysis) |
著者: | Takahashi, Wataru |
著者名の別形: | 高橋, 渉 |
キーワード: | 47H05 47H09 Maximal monotone operator fixed point split feasibility problem split common null point problem iteration procedure duality mapping |
発行日: | Dec-2016 |
出版者: | 京都大学数理解析研究所 |
誌名: | 数理解析研究所講究録 |
巻: | 2011 |
開始ページ: | 118 |
終了ページ: | 126 |
抄録: | In this article, motivated by split feasibility problems and split common null point problems in Hilbert spaces, we first introduce the concept of nonlinear operators in Banach spaces which covers strict pseud-contractions and generalized hybrid mappings in Hilbert spaces, and the metric projections and the metric resolvents in Banach spaces. Then we consider split common fixed point problems with the operators in Banach spaces. Using hybrid methods, Mann s type iterations and Halpern s type iterations, we prove weak and strong convergence theorems for finding solutions of split common fixed point problems in Banach spaces. Furthermore, using these results, we get well-known and new results which are connected with split feasibility problems and split common null point problems in Banach spaces. |
URI: | http://hdl.handle.net/2433/231603 |
出現コレクション: | 2011 非線形解析学と凸解析学の研究 |
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