Modified hybrid projection methods for finding common solutions to variational inequality problems

Dang Hieu (), Pham Ky Anh () and Le Dung Muu ()
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Dang Hieu: Vietnam National University, Hanoi
Pham Ky Anh: Vietnam National University, Hanoi
Le Dung Muu: VAST, Hanoi

Computational Optimization and Applications, 2017, vol. 66, issue 1, No 3, 75-96

Abstract: Abstract 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.

Keywords: Variational inequality; Equilibrium problem; Generalized equilibrium problem; Gradient method; Extragradient method; 65Y05; 65K15; 68W10; 47H05; 47H10 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10589-016-9857-6

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