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Hilbert空间中变分不等式与最小范数不动点问题的Noor三步算法收敛性研究 被引量：1

The strong convergence of a three- step algorithm for variational inequalities and minimum- norm fixed point in Hilbert spaces
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摘要 提出了一个Noor三步算法,该算法找到非扩张映射下的可作为某些变分不等式解的不动点。证明了一个定理并且得到作为定理的一个推论,结果推广并改进了最近他人的结果。 In this paper, we introduce a Noor three - step algorithm for finding a fixed point of a nonexparsive mapping T, which is a unique solution of some variational inequalities. We prove a therorem and get a corollary as a special case of our therorem. The main results in this paper exterd and inprove the recent ores annouecd by many others.
作者 王波 胡长松
机构地区 湖北师范学院数学与统计学院
出处 《湖北师范学院学报（自然科学版）》 2014年第4期68-73,共6页 Journal of Hubei Normal University(Natural Science)
关键词 非扩张映射 Noor三步算法 不动点 变分不等式 强收敛 nonexpansive mapping Noor three - step method fixed point variational inequality strong convergence Hilbertspac
分类号 O151.21 [理学—基础数学]
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参考文献10

  • 1Kinderlehrer D W, Stampacchia G.' An Introduction to Variational Inequalities and their Applications [ M ]. New York : Ac- ademic press Inc , 1980.
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二级参考文献12

  • 1Y L Cuiand, X Liu. Noteson Browder' s and Halpern' s methods for nonexpansive mappings [ J ]. Fixed Point Theory, 2009,10 (1) .. 89 - 98.
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  • 10D P Wu. Weak Convergence of Ishikawa Iteration with Error for Pseudo Contractive Mappings in Hilbert Spaces[ J ]. Journal of Mathematics Research, 2011,3 (4) : 44 - 49.

同被引文献6

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二级引证文献3

湖北师范学院学报（自然科学版）
2014年 第4期

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