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一类变分不等式和非扩张映像不动点问题的一个迭代算法 被引量:1

An Iterative Method for a Kind of Variational Inequality and Fixed Point Problem of Nonexpansive Mapping
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摘要 该文提出了关于含松弛强制映像变分不等式和不动点问题解的一个投影迭代算法,所得结果改进和推广了目前一些作者的研究结果. In this paper, the authors introduce a new iterative scheme to investigate the problem of finding a common element of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for a relaxed cocoercive and Lipschitz continuous mapping. The results improve and extend the recent ones announced by many others.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2010年第4期1126-1137,共12页 Acta Mathematica Scientia
基金 国家自然科学基金(10771050)资助
关键词 变分不等式 投影算法 松弛强制映像 非扩张映像 不动点 Variational inequality Projection method Relaxed cocoercive mapping Nonexpansive mapping Fixed point.
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