| 多值单调型算子不动点带有误差项的迭代程序 |
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| 引用本文： | 丁协平.多值单调型算子不动点带有误差项的迭代程序[J].四川师范大学学报(自然科学版),1997,20(2):54-59. |
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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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| 基金项目： | 国家自然科学基金,四川省教委自然科学基金 |
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| 摘 要： | 本文在一致光滑Ｂａｎａｃｈ空间内证明了带有误差项的Ｍａｎｎ和ｓｈｉｋａｗａ迭代序列强收敛于一类多值单调型算子的唯一不动点，这类算子可以不满足Ｌｉｐｓｃｈｉｔｚ连续性条件，这些结果改进和推广了Ｄｕｎｎ，Ｃｈｉｄｕｍｅ，Ｄｅｎｇ－Ｄｉｎｇ等人的最近结果。
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| 关 键 词： | 误差项 迭代程序 多值算子 单调型算子 不动点 |
ITERATIVE PROCESS WITH ERRORS FOR FIXED POINTS OF MULTIVALUED OPERATOR OF MONOTONE TYPE |
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| Ding,Xieping.ITERATIVE PROCESS WITH ERRORS FOR FIXED POINTS OF MULTIVALUED OPERATOR OF MONOTONE TYPE[J].Journal of Sichuan Normal University(Natural Science),1997,20(2):54-59. |
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| Authors: | Ding Xieping |
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| Abstract: | In this paper,the unigue fixed point of multivalued operators of monotone type is approximated by Mann and Ishikawa iterative processes with errors in uniformly smooth Banach spaces. The operators may not satisfy Lipschitzian continuous conditions. The present results improve and generalize some recent results of Dunn, Chidume, Deng Ding and Ding. |
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| Keywords: | Multivalued operator of monotone type Mann and Ishikawa iterative processes with errors Uniformly smooth space |
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