无限族demi压缩映射与平衡问题的收敛定理

张丽娟, 刘英

数学学报 ›› 2017, Vol. 60 ›› Issue (5) : 721-730.

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数学学报 ›› 2017, Vol. 60 ›› Issue (5) : 721-730. DOI: 10.12386/A2017sxxb0061
论文

无限族demi压缩映射与平衡问题的收敛定理

    张丽娟, 刘英
作者信息 +

Convergence Theorems for an Infinite Family of Demicontractive Mappings and Equilibrium Problems

    Li Juan ZHANG, Ying LIU
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文章历史 +

摘要

在Hilbert空间中,为了找到无限个demi压缩映射公共不动点集和广义混合平衡问题解的公共元,本文介绍了一种迭代算法,得到关于公共元的强收敛定理,并给出例子说明结果.

Abstract

The purpose of this paper is to introduce an iterative method for finding a common element of the set of solutions of generalized mixed equilibrium problems and the set of common fixed points of an infinite family of demicontractive mappings in Hilbert spaces. The strong convergence theorem of the purposed iterative scheme is obtained. We give some numerical examples to demonstrate our results.

关键词

demi压缩映射 / 平衡问题 / 不动点

Key words

demicontractive mapping / equilibrium problem / fixed point

引用本文

导出引用
张丽娟, 刘英. 无限族demi压缩映射与平衡问题的收敛定理. 数学学报, 2017, 60(5): 721-730 https://doi.org/10.12386/A2017sxxb0061
Li Juan ZHANG, Ying LIU. Convergence Theorems for an Infinite Family of Demicontractive Mappings and Equilibrium Problems. Acta Mathematica Sinica, Chinese Series, 2017, 60(5): 721-730 https://doi.org/10.12386/A2017sxxb0061

参考文献

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基金

国家自然科学基金资助项目(11401157);河北省自然科学基金资助项目(A2012201054)

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