ITERATIVE METHODS FOR SEMIGROUPS OF NONEXPANSIVE MAPPINGS AND VARIATIONAL INEQUALITIES

被引：0
作者：
Saeidi, Shahram [1 ]
Naseri, Saber [2 ]
机构：
[1] Univ Kurdistan, Dept Math, Kurdistan, Iran
[2] Isfahan Univ, Dept Math, Esfahan, Iran
来源：
MATHEMATICAL REPORTS | 2010年 / 12卷 / 01期
关键词：
amenable semigroup; common fixed point; iteration; nonexpansive mapping; projection; variational inequality; viscosity approximation; VISCOSITY APPROXIMATION METHODS; NONLINEAR ERGODIC-THEOREMS; BANACH-SPACES; FIXED-POINTS; QUADRATIC OPTIMIZATION; HILBERT-SPACE; RETRACTIONS; CONVERGENCE; ALGORITHMS; EXISTENCE;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce an iterative method for finding a common fixed point of a. semigroup of nonexpansive mappings in a. Hilbert space, with respect to a sequence of left regular means defined on an appropriate space of bounded real valued functions of the semigroup. We prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. Compared to the similar works, our results have the merit of imposing weaker hypotheses on coefficients.
引用
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页码：59 / 70
页数：12
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