Conference paper

https://doi.org/10.3336/gm.46.1.17

Approximating common solutions of variational inequalities by iterative algorithms with applications

Xiaolong Qin ; School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
Sun Young Cho ; Department of Mathematics, Gyeongsang National University, Chinju 660-701, Korea
Yeol Je Cho ; Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea

Abstract

In this paper, we introduce an iterative scheme for a general variational inequality. Strong convergence theorems of common solutions of two variational inequalities are established in a uniformly convex and 2-uniformly smooth Banach space. As applications, we, still in Banach spaces, consider the convex feasibility problem.

Keywords

Iterative algorithm; variational inequality; inverse-strongly accretive mapping; sunny nonexpansive retraction

Hrčak ID:

68903

URI

https://hrcak.srce.hr/68903

Publication date:

13.6.2011.

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