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ファイル | 記述 | サイズ | フォーマット | |
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2065-08.pdf | 1.12 MB | Adobe PDF | 見る/開く |
タイトル: | STRONG CONVERGENCE THEOREMS FOR ACCRETIVE OPERATORS AND NONEXPANSIVE MAPPINGS IN BANACH SPACES (Nonlinear Analysis and Convex Analysis) |
著者: | Jung, Jong Soo |
キーワード: | 47H05 47H09 47H10 47J25 49M05 65J15 Iterative algorithm Accretive operator Resolvent Zeros Nonexpansive mappings Fixed points Variational inequalities Uniformly Gâteaux differentiable norm |
発行日: | Apr-2018 |
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: | 2065 |
開始ページ: | 75 |
終了ページ: | 86 |
抄録: | In this paper, we introduce two new iterative algorithms (one implicit and one explicit) for finding a common point of the set of zeros of an accretive operator and the set of fixed points of a nonexpansive mapping in a real uniformly convex Banach space having a uniformly Gâteaux differentiable norm. Then under suitable control conditions, we establish strong convergence of sequence generated by proposed algorithm to a common point of above two sets, which is a solution of a ceratin variational inequality. The main theorems develop and complement some well-known results in the literature. |
URI: | http://hdl.handle.net/2433/241906 |
出現コレクション: | 2065 非線形解析学と凸解析学の研究 |
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