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

被引：0
作者：
Hossein Piri
Ali Haji Badali
机构：
[1] University of Bonab,Department of Mathematics
来源：
Fixed Point Theory and Applications | / 2011卷
关键词：
projection; common fixed point; amenable semigroup; iterative process; strong convergence; variational inequality;
D O I：
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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 β-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.
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