An Iterative Algorithm for Sovling Three Common Elements Problems on Nonexpansive Mappings

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摘要:

基于Hilbert空间的非扩张映射的一类问题的解或两类问题的公共解已给出了相应的迭代算法.针对非扩张映射上的广义均衡问题的解集,不动点集及变分包含问题的解集的公共元问题,提出了一种迭代算法,获得一强收敛定理和若干相关的推论.

Several iterative algorithms have been given for finding the set of solutions for a kind of problems and the corn- mon solutions for two kinds of problems about nonexpansive mappings in Hilbert space. In this paper, an iterative algorithm is proposed for finding the common elements of the solution set of generalized equilibrium problems, fixed points set and varia- tional inclusion problems. As a result, a strong convergence theorem and several related inferences are obtained.

作者:

王亚丽闫学阳

机构地区:

betway官方app 计算机与信息工程学院 betway官方app 智慧商务与物联网技术河南省工程实验室南阳医学高等专科学校公共教学部

出处:

《betway官方app 学报：自然科学版》 CAS 北大核心 2015年第5期22-29,共8页

基金:

国家自然科学基金(U1404602) 河南省重点科技攻关计划(102102210178)

关键词:

广义均衡问题非扩张映射族不动点

generalized equilibrium problem a family of nonexpansive mapping fixed point

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