Hybrid algorithm for generalized mixed equilibrium problems and variational inequality problems and fixed point problems

Hybrid algorithm for generalized mixed equilibrium problems and variational inequality problems and fixed point problems
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广义混合平衡问题和变分不等式问题以及不动点问题的混合算法

DOI:
10.1016/j.camwa.2011.10.068
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发表时间:
2011-12
期刊:
Computer and Mathematics with Applications
影响因子:
--
通讯作者:
Cai, Gang
Cai, Gang
中科院分区:
其他
文献类型:
--
作者:
Bu, Shangquan;Cai, Gang

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本文在真实的Hilbert空间中,用混合方法给出了一个新的迭代算法,用于求有限个逆强单调映象的有限个一般混合平衡问题的解集和一般变分不等式问题的解集以及严格伪压缩映象的无限族的公共不动点集的公共元素.然后,我们证明了强收敛的计划的一个共同的元素,上述三个集。我们的结果改进和推广了许多人所公布的相应结果。
In this paper, we introduce a new iterative algorithm by hybrid method for finding a common element of the set of solutions of finite general mixed equilibrium problems and the set of solutions of a general variational inequality problem for finite inverse strongly monotone mappings and the set of common fixed points of infinite family of strictly pseudocontractive mappings in a real Hilbert space. Then we prove strong convergence of the scheme to a common element of the three above described sets. Our result improves and extends the corresponding results announced by many others.
DOI: 10.4134/bkms.2010.47.6.1259
发表时间: 2010-11
影响因子: 0.5
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发表时间: 2010-02
影响因子: --
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影响因子: --
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