The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces

被引：28

作者：

Ke, Yifen ^{[1
]}

Ma, Changfeng ^{[1
]}

机构：

[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350117, Peoples R China

来源：

FIXED POINT THEORY AND APPLICATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

viscosity; generalized implicit rule; nonexpansive mapping; variational inequality; constrained convex minimization problem; K-mapping; MIXED EQUILIBRIUM PROBLEMS; FIXED-POINT PROBLEMS; COMMON SOLUTIONS; ALGORITHM;

D O I：

10.1186/s13663-015-0439-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces are established. The strong convergence theorems of the rules are proved under certain assumptions imposed on the sequences of parameters. The results presented in this paper extend and improve the main results of Refs. (Moudafi in J. Math. Anal. Appl. 241: 46-55, 2000; Xu et al. in Fixed Point Theory Appl. 2015: 41, 2015). Moreover, applications to a more general system of variational inequalities, the constrained convex minimization problem and K-mapping are included.

引用

页数：21

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