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首页> 外文期刊>Fixexd point theory and applications >The hybrid algorithm for the system of mixed equilibrium problems, the general system of finite variational inequalities and common fixed points for nonexpansive semigroups and strictly pseudo-contractive mappings
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The hybrid algorithm for the system of mixed equilibrium problems, the general system of finite variational inequalities and common fixed points for nonexpansive semigroups and strictly pseudo-contractive mappings

机译：混合均衡问题系统，有限变分不等式的一般系统以及非扩张半群的公共不动点和严格拟压缩映射的混合算法

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摘要

In this article, we introduce a new iterative algorithm by the shrinking projection method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of common solutions of general system of finite variational inequalities, the set of solutions of fixed points for nonexpansive semigroups and the set of common fixed points for an infinite family of strictly pseudo-contractive mappings in a real Hilbert space. We prove that the sequence converges strongly to a common element of the above four sets under some mind conditions. Our results improve and extend the corresponding recent results in literature work.
机译：在本文中，我们通过收缩投影法介绍了一种新的迭代算法，用于找到广义混合均衡问题解集的公共元素，有限变分不等式的一般系统的常见解，固定解非膨胀半群的点和实Hilbert空间中无穷严格伪压缩映射族的公共不动点集。我们证明了该序列在某些心理条件下强烈收敛于上述四个集合的共同元素。我们的结果改进和扩展了文献工作中相应的最新成果。

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