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首页> 外文期刊>Nonlinear analysis. Hybrid systems: An International Multidisciplinary Journal >Strong convergence theorems by hybrid methods for a finite family ofnonexpansive mappings and inverse-strongly monotone mappings
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Strong convergence theorems by hybrid methods for a finite family ofnonexpansive mappings and inverse-strongly monotone mappings

机译：混合方法的有限族非扩张映射和强反单调映射的强收敛定理

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摘要

In this paper, we introduce and study an iterative scheme by a hybrid method for findinga common element of the set of solutions of an equilibrium problem, the set of commonfixed points of a finite family of nonexpansive mappings and the set of solutions of thevariational inequality for an inverse-strongly-monotone mapping in a real Hilbert space.Then, we prove that the iterative sequence converges strongly to'a common element of thethree sets. Using this result, we consider the problem of finding a common fixed point of afinite family of nonexpansive mappings and a strictly pseudocontractive mapping and theproblem of finding a common element of the set of common fixed points of a finite familyof nonexpansive mappings and the set of zeros of an inverse-strongly monotone mapping.The results obtained in this paper extend and improve the several recent results in thisarea.
机译：在本文中，我们引入并研究了一种混合方法的迭代方案，该方法可找到平衡问题解集的一个公共元素，一个非扩张映射的有限族的公共不动点集以及一个变量不等式的解集。一个真实的希尔伯特空间中的逆强单调映射。然后，我们证明了迭代序列强烈收敛于三个集合的一个公共元素。使用该结果，我们考虑了以下问题：寻找非扩张映射的有限族和严格伪压缩映射的公共不动点，以及寻找非扩张映射的有限族的公共不动点的集合和零集的公共元素的问题本文获得的结果扩展并改进了该领域的最新成果。

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