A viscosity scheme for mixed equilibrium problems, variational inequality problems and fixed point problems

A viscosity scheme for mixed equilibrium problems, variational inequality problems and fixed point problems
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混合平衡问题、变分不等式问题和不动点问题的粘度方案

DOI:
10.1016/j.mcm.2012.09.023
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发表时间:
2013-03
影响因子:
--
通讯作者:
Bu, Shangquan
Bu, Shangquan
中科院分区:
--
文献类型:
--
作者:
Cai, Gang;Bu, Shangquan

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本文研究了Hilbert空间中有限一般混合平衡问题解集的公共元素、余强制映象的有限变分不等式解的集、无穷族非扩张映象的公共不动点集和非扩张半群的不动点解的一个新的通用迭代格式。在适当的条件下,得到了强收敛定理。
In this paper, we study a new general iterative scheme for finding a common element of the set of solutions of finite general mixed equilibrium problems, the set of solutions of finite variational inequalities for cocoercive mappings, the set of solutions of common fixed points of an infinite family of nonexpansive mappings and the set of solutions of fixed points of a nonexpansive semigroup in Hilbert space. Strong convergence theorems are obtained under appropriate conditions.
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
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发表时间: 2011-12
期刊: Computer and Mathematics with Applications
影响因子: --
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