| 使用黏性逼近方法推广一个平衡及不动点问题 |
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| 引用本文： | 谢旭平,吴定平,段祺斌.使用黏性逼近方法推广一个平衡及不动点问题[J].成都信息工程学院学报,2010,25(6). |
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| 作者姓名： | 谢旭平 吴定平 段祺斌 |
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| 摘 要： | 为了研究寻找一般平衡问题的公共解集中共有元素的迭代方法,及无穷非扩张映像族的不动点问题.通过在Hilbert空间中构造非扩张序列Ti得出了一种关于Wn算子的新黏性逼近迭代算法,在一定条件下,得出了其强收敛定理.
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| 关 键 词： | 基础数学 非线性泛函分析 平衡问题 变分不等式 不动点 反强单调算子 非扩张算子 |
Viscosity Approximation Methods for Extend a Generalized Equilibrium Problems and Fixed Point Problems |
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| XIE Xu-ping,WU Ding-ping,DNAN Qi-bin.Viscosity Approximation Methods for Extend a Generalized Equilibrium Problems and Fixed Point Problems[J].Journal of Chengdu University of Information Technology,2010,25(6). |
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| Authors: | XIE Xu-ping WU Ding-ping DNAN Qi-bin |
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| Abstract: | In this paper, a general iterative scheme for finding a conmon element of the set of common solutions of generalized equilibrium problems and the set of common fixed points of a family of infinte non-expansive mappings is studied. Strong convergence theorem about the Wn-mapping constructed by a family of infintely non-expansive mappings Ti were proved in a Hilbert space under suitable conditions. |
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| Keywords: | fundamental mathematics nonlinear analysis equilibrium problem variational inequality problem fixed point inverse-strongly monotone mapping nor-expansive mapping |
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