New subgradient extragradient methods for common solutions to equilibrium problems

Dang Hieu ()
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Dang Hieu: Vietnam National University

Computational Optimization and Applications, 2017, vol. 67, issue 3, No 5, 594 pages

Abstract: Abstract In this paper, three parallel hybrid subgradient extragradient algorithms are proposed for finding a common solution of a finite family of equilibrium problems in Hilbert spaces. The proposed algorithms originate from previously known results for variational inequalities and can be considered as modifications of extragradient methods for equilibrium problems. Theorems of strong convergence are established under the standard assumptions imposed on bifunctions. Some numerical experiments are given to illustrate the convergence of the new algorithms and to compare their behavior with other algorithms.

Keywords: Hybrid method; Subgradient method; Extragradient method; Equilibrium problem; Parallel computation; 65J15; 65Y05; 47H05; 47J25; 91B50 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10589-017-9899-4

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