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Strong convergence theorems for an infinite family of quasi-nonexpansive mappings and generalized equilibrium problems and variational inequality problems

机译:无限类拟非扩张映象的强收敛定理以及广义均衡问题和变分不等式问题

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摘要

In this paper, we introduce a new iterative scheme for finding a common element of the set of common Fixed points of an infinite family of uniformly continuous quasi-nonexpansive mappings and the set of solutions to a generalized equilibrium problem and the set of solutions to a variational inequality problem in a real Hilbert space. We then prove strong convergence of the scheme to a common element of the three mentioned sets. Our results extend important recent results.
机译:在本文中,我们介绍了一种新的迭代方案,用于找到无限个一致连续的拟非扩张映射族的公共不动点集的公共元素以及广义平衡问题的解集和a的解集实希尔伯特空间中的变分不等式问题。然后,我们证明了该方案与上述三个集合的共同元素的强收敛性。我们的结果扩展了重要的近期结果。

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