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Acta Mathematica Vietnamica

, Volume 42, Issue 4, pp 587–604 | Cite as

An Extragradient Method for Finding Minimum-Norm Solution of the Split Equilibrium Problem

  • Tran Viet AnhEmail author
Article

Abstract

The purpose of this paper is to find minimum-norm solutions of the split equilibrium problem. This problem is motivated by the least-squares solution to the constrained linear inverse problem. By using the extragradient method, we derive the strong convergence of an iterative algorithm to the minimum-norm solution of the split equilibrium problem. As special cases, minimum-norm solutions of the split variational inequality problem and the split feasibility problem can be found.

Keywords

Split equilibrium problem Minimum-norm solution Strong convergence 

Mathematics Subject Classification (2010)

49M37 90C26 65K15 

Notes

Acknowledgments

The author is very grateful to the anonymous referee and the editor for their useful comments and advices which helped to improve the quality and presentation of this paper.

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Copyright information

© Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2016

Authors and Affiliations

  1. 1.Department of Scientific FundamentalsPosts and Telecommunications Institute of TechnologyHanoiVietnam

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