Hybrid algorithm for common solution of monotone inclusion problem and fixed point problem and applications to variational inequalities

被引：4

作者：

Zhang, Jingling ^{[1
]}

Jiang, Nan ^{[1
]}

机构：

[1] Tianjin Univ, Dept Math, Tianjin 300350, Peoples R China

来源：

SPRINGERPLUS | 2016年 / 5卷

基金：

中国国家自然科学基金;

关键词：

Quasi-nonexpansive mappings; Inverse-strongly monotone mapping; Maximal monotone operator; Fixed point; CONVERGENCE THEOREMS; EQUILIBRIUM PROBLEMS; NONEXPANSIVE-MAPPINGS; ITERATIVE ALGORITHM; ACCRETIVE OPERATOR; ZERO-POINT; APPROXIMATION; ELEMENTS;

D O I：

10.1186/s40064-016-2389-9

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The aim of this paper is to investigate hybrid algorithm for a common zero point of the sum of two monotone operators which is also a fixed point of a family of countable quasi-nonexpansive mappings. We point out two incorrect proof in paper (Hecai in Fixed Point Theory Appl 2013:11, 2013). Further, we modify and generalize the results of Hecai's paper, in which only a quasi-nonexpansive mapping was considered. In addition, two family of countable quasi-nonexpansive mappings with uniform closeness examples are provided to demonstrate our results. Finally, the results are applied to variational inequalities.

引用

页数：13

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