| 自反巴拿赫空间中Bregman非扩散算子的不动点定理 |
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| 引用本文： | 魏刚,杨峰,邓磊.自反巴拿赫空间中Bregman非扩散算子的不动点定理[J].西南农业大学学报,2011,33(8). |
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| 作者姓名： | 魏刚 杨峰 邓磊 |
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| 作者单位： | 西南大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(10771173); 重庆市科委自然科学基金资助项目(CSTC,2005BB2097) |
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| 摘 要： | 引入了自反巴拿赫空间中的Bregman非扩散算子,并证明了关于这类算子的一些不动点定理.
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| 关 键 词： | Legendre函数 Bregman距离 Bregman非扩散算子 |
Fixed Point Theorems for Bregman Non-spreading Operators in Reflexive Banach Spaces |
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| WEI Gang,YANG Feng,DENG Lei School of Mathematics , Statistics,Southwest University,Chongqing ,China.Fixed Point Theorems for Bregman Non-spreading Operators in Reflexive Banach Spaces[J].Journal of Southwest Agricultural University,2011,33(8). |
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| Authors: | WEI Gang YANG Feng DENG Lei School of Mathematics Statistics Southwest University Chongqing China |
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| Institution: | WEI Gang,YANG Feng,DENG Lei School of Mathematics and Statistics,Southwest University,Chongqing 400715,China |
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| Abstract: | In this paper the conception of Bregman non-spreading operator is introduced in reflexive Banach spaces and some fixed point theorems is proved for this class of operators. |
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| Keywords: | Legendre function Bregman distance Bregman non-spreading operator |
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