Journal
COMPUTATIONAL OPTIMIZATION AND APPLICATIONS
Volume 66, Issue 1, Pages 75-96Publisher
SPRINGER
DOI: 10.1007/s10589-016-9857-6
Keywords
Variational inequality; Equilibrium problem; Generalized equilibrium problem; Gradient method; Extragradient method
Funding
- VIASM
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In this paper we propose several modified hybrid projection methods for solving common solutions to variational inequality problems involving monotone and Lipschitz continuous operators. Based on differently constructed half-spaces, the proposed methods reduce the number of projections onto feasible sets as well as the number of values of operators needed to be computed. Strong convergence theorems are established under standard assumptions imposed on the operators. An extension of the proposed algorithm to a system of generalized equilibrium problems is considered and numerical experiments are also presented.
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