Hilbert空间中平衡与变分不等式问题的收敛定理及无穷非扩张映射族

IF 1.2 Q2 MATHEMATICS, APPLIED

Journal of Applied Mathematics Pub Date : 2014-04-07 DOI:10.1155/2014/232541

Zhou Yin-ying, Cao Jiantao, Wang Ya-li

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引用次数: 2

摘要

针对Hilbert空间中无限非扩张映射族、变分不等式问题的解集和平衡问题的解集，提出了一种寻找公共不动点集的公共元素的混合迭代格式。在适当的条件下，得到了一些强收敛定理。我们的研究结果改进并扩展了(Chang等人(2009)、Min和Chang(2012)、Plubtieng和Punpaeng(2007)、S. Takahashi和W. Takahashi(2007)、Tada和Takahashi(2007)、Gang和Changsong(2009)、Ying(2013)、Y. Yao和J. C. Yao(2007)以及Yong-Cho和Kang(2012))的相应结果。

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Convergence Theorem for Equilibrium and Variational Inequality Problems and a Family of Infinitely Nonexpansive Mappings in Hilbert Space

We introduce a hybrid iterative scheme for finding a common element of the set of common fixed points for a family of infinitely nonexpansive mappings, the set of solutions of the varitional inequality problem and the equilibrium problem in Hilbert space. Under suitable conditions, some strong convergence theorems are obtained. Our results improve and extend the corresponding results in (Chang et al. (2009), Min and Chang (2012), Plubtieng and Punpaeng (2007), S. Takahashi and W. Takahashi (2007), Tada and Takahashi (2007), Gang and Changsong (2009), Ying (2013), Y. Yao and J. C. Yao (2007), and Yong-Cho and Kang (2012)).

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来源期刊

Journal of Applied Mathematics MATHEMATICS, APPLIED-

CiteScore

2.70

自引率

0.00%

发文量

审稿时长

3.2 months

期刊介绍： Journal of Applied Mathematics is a refereed journal devoted to the publication of original research papers and review articles in all areas of applied, computational, and industrial mathematics.