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Mathematical Communications, Vol. 16 No. 1, 2011.

Original scientific paper

Systems of relaxed cocoercive generalized variational inequalities via nonexpansive mappings

Yan Hao ; School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan, P. R. China
Xiaolong Qin ; School of Mathematics and Information Sciences, North China Universityof Water Resources and Electric Power, Zhengzhou, P. R. China
Shin Min Kang ; Department of Mathematics and the RINS, Gyeongsang National University, Jinju, Korea

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Abstract

In this paper, we consider a system of generalized variational
inequalities. We introduce an iterative algorithm for the system of
generalized variational inequalities and study the algorithmic
convergence analysis. Strong convergence theorems are established.
The results presented in this paper mainly improve and extend the
corresponding results announced by many others.

Keywords

variational inequality; projection method; relaxed cocoercive mapping; nonexpansive mapping

Hrčak ID:

68634

URI

https://hrcak.srce.hr/68634

Publication date:

10.6.2011.

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