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

数学物理学报 ›› 2010, Vol. 30 ›› Issue (4): 1126-1137.

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

商美娟^{1, 2}, 苏永福¹, 秦小龙¹

1.天津工业大学理学院数学系天津 300160|2.石家庄学院数学系石家庄 050035

收稿日期:2008-11-27 修回日期:2009-10-16 出版日期:2010-07-25 发布日期:2010-07-25
基金资助:
国家自然科学基金 (10771050)资助

An Iterative Method for a Kind of |Variational Inequality and Fixed Point Problem of Nonexpansive Mapping

SHANG Mei-Juan^{1, 2}, SU Yong-Fu¹, QIN Xiao-Long¹

1.Department of Mathematics, School of Science, Tianjin Polytechnic University, Tianjin 300160;
2.Department of Mathematics, Shijiazhuang University, Shijiazhuang 050035

Received:2008-11-27 Revised:2009-10-16 Online:2010-07-25 Published:2010-07-25
Supported by:
国家自然科学基金 (10771050)资助

摘要/Abstract

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.

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

Abstract:

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.

Key words: Variational inequality, Projection method, Relaxed cocoercive mapping, Nonexpansive mapping, Fixed point

中图分类号:

47H05

商美娟, 苏永福, 秦小龙. 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[J]. 数学物理学报, 2010, 30(4): 1126-1137.

SHANG Mei-Juan, SU Yong-Fu, QIN Xiao-Long. An Iterative Method for a Kind of |Variational Inequality and Fixed Point Problem of Nonexpansive Mapping [J]. Acta mathematica scientia,Series A, 2010, 30(4): 1126-1137.

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