| 一致光滑Banach空间中多值单调算子的不动点逼近 |
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| 引用本文： | 丁协平.一致光滑Banach空间中多值单调算子的不动点逼近[J].四川师范大学学报(自然科学版),1996,19(3):1-9. |
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| 作者姓名： | 丁协平 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 本文在一致光滑Ｂａｎａｃｈ空间内证明了Ｍａｎｎ和Ｉｓｈｉｋａｗａ迭代序列强收敛于一类多值单调型算子的唯一不动点．这些结果改进和推广了Ｄｕｎｎ，Ｃｈｉｄｕｍｅ和Ｄｅｎｇ－Ｄｉｎｇ分别在Ｈｉｌｂｅｒｔ空间，Ｌｐ（ｐ≥２）空间和ｓ－一致光滑Ｂａｎａｃｈ空间内所得到的相应结果
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| 关 键 词： | 巴拿赫空间 逼近 多值单调算子 不动点 单调算子 |
APPROXIMATION OF FIXED POINTS FOR MONOTONE MULTIVALUED OPERATORS IN UNIFORMLY SMOOTH BANACH SPACES * |
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| Ding,Xieping.APPROXIMATION OF FIXED POINTS FOR MONOTONE MULTIVALUED OPERATORS IN UNIFORMLY SMOOTH BANACH SPACES *[J].Journal of Sichuan Normal University(Natural Science),1996,19(3):1-9. |
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| Authors: | Ding Xieping |
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| Abstract: | In this paper, the unique fixed point of multivalued operators of monotone type in uniformly smooth Banach space is approximated by the Mann and Ishikawa iteration processes. The results obtained by author improve and generalize some corresponding results of Dunn, Chidume and Deng Ding. |
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| Keywords: | Multivalued operator of monotone type Uniformly smooth Banach space Mann and Ishikawa iteration processes |
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