Modified viscosity implicit rules for nonexpansive mappings in Hilbert spaces

被引：9

作者：

Cai, Gang ^{[1
]}

Shehu, Yekini ^{[2
]}

Iyiola, Olaniyi Samuel ^{[3
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

[2] Univ Nigeria, Dept Math, Nsukka, Nigeria

[3] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 04期

关键词：

Fixed point; generalized implicit rule; nonexpansive mapping; Hilbert spaces; ORDINARY DIFFERENTIAL-EQUATIONS; STRICT PSEUDO-CONTRACTIONS; APPROXIMATION METHODS; BANACH-SPACES; FIXED-POINTS; VARIATIONAL-INEQUALITIES; MIDPOINT RULE; CONVERGENCE;

D O I：

10.1007/s11784-017-0458-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a modified viscosity implicit rule of a nonexpansive mapping in Hilbert spaces. Strong convergence theorems are obtained under some suitable assumptions imposed on the parameters. As applications, we obtain some strong convergence theorems for solving fixed-point problems of strict pseudocontractive mappings and finite equilibrium problems in Hilbert spaces. We also give some numerical examples to support our main results.

引用

页码：2831 / 2846

页数：16

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