Strong convergence theorem for amenable semigroups of nonexpansive mappings and variational inequalities

被引：9

作者：

Piri, Hossein ^{[1
]}

Badali, Ali Haji ^{[1
]}

机构：

[1] Univ Bonab, Dept Math, Bonab 5551761167, Iran

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

projection; common fixed point; amenable semigroup; iterative process; strong convergence; variational inequality; VISCOSITY APPROXIMATION METHODS; STRICT PSEUDO-CONTRACTIONS; GENERAL ITERATIVE METHOD; FIXED-POINTS; ALGORITHM;

D O I：

10.1186/1687-1812-2011-55

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, using strongly monotone and lipschitzian operator, we introduce a general iterative process for finding a common fixed point of a semigroup of nonexpansive mappings, with respect to strongly left regular sequence of means defined on an appropriate space of bounded real-valued functions of the semigroups and the set of solutions of variational inequality for beta-inverse strongly monotone mapping in a real Hilbert space. Under suitable conditions, we prove the strong convergence theorem for approximating a common element of the above two sets. Mathematics Subject Classification 2000: 47H09, 47H10, 43A07, 47J25.

引用

页码：1 / 16

页数：16

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