Original scientific paper
An iterative method for fixed point problems and variational inequality problems
Muhammad Aslam Noor
Yonghong Yao
Rudong Chen
Yeong-Cheng Liou
Abstract
In this paper, we present an iterative method for fixed
point problems and variational inequality problems. Our method is based on the so-called extragradient method and viscosity approximation method. Using this method, we can find the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality for monotone mapping.
Keywords
variational inequality; fixed point; monotone mapping; nonexpansive mapping
Hrčak ID:
12600
URI
Publication date:
31.5.2007.
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