| SOME CONVERGENCE PROBLEM OF ITERATIVE SEQUENCESFOR ACCRETIVE AND PSEUDO-CONTRACTIVETYPE MAPPING IN BANACH SPACES |
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| 作者姓名： | 张石生 |
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| 作者单位： | ZHANG Shi-sheng (Department of Mathematics，Sichuan University，Chengdu 610064，P R China)(Contributed by ZHANG Shi-sheng) |
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| 摘 要： | 1 ＩｎｔｒｏｄｕｃｔｉｏｎａｎｄＰｒｅｌｉｍｉｎａｒｉｅｓＴｈｒｏｕｇｈｏｕｔｔｈｉｓｐａｐｅｒ,ｗｅａｓｓｕｍｅｔｈａｔＥｉｓａｒｅａｌＢａｎａｃｈｓｐａｃｅ ,Ｅ ｉｓｔｈｅｔｏｐｏｌｏｇｉｃａｌｄｕａｌｓｐａｃｅｏｆＥ ;〈· ,·〉ｉｓｔｈｅｄｕａｌｐａｉｒｂｅｔｗｅｅｎＥａｎｄＥ ,Ｄ(Ｔ) ,Ｒ(Ｔ) ,Ｎ(Ｔ) ,Ｆ(Ｔ)ｄｅｎｏｔｅｔｈｅｄｏｍａｉｎｏｆＴ ,ｒａｎｇｅｏｆＴ ,ｔｈｅｓｅｔｏｆａｌｌｚｅｒｏｐｏｉｎｔｓｏｆＴａｎｄｔｈｅｓｅｔｏｆａｌｌｆｉｘｅｄｐｏｉｎｔｓｏｆＴｒｅｓｐｅｃｔｉｖｅｌｙ…
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| 收稿时间： | 12 December 2000 |
Some convergence problem of iterative sequences for accretive and pseudo-contractive type mapping in banach spaces |
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| Zhang Shi-sheng Professor.SOME CONVERGENCE PROBLEM OF ITERATIVE SEQUENCESFOR ACCRETIVE AND PSEUDO-CONTRACTIVETYPE MAPPING IN BANACH SPACES[J].Applied Mathematics and Mechanics(English Edition),2002,23(4):394-408. |
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| Authors: | Zhang Shi-sheng Professor |
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| Institution: | Department of Mathematics, Sichuan University, Chengdu 610064, P R China |
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| Abstract: | Some necessary and sufficient conditions for convergence of Ishikawa Mann and steepest descent iterative sequence for accretive and pseudo-contractive type mapping in Banach spaces were obtained. The results improve, extend and include some recent results. |
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| Keywords: | accretive mapping pseudo-contractive mapping hemi-accretive mapping hemi-pseudo-contractive mapping Ishikawa iterative sequence Mann iterative sequence steepest descent sequence |
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