An extragradient-like parallel method for pseudomonotone equilibrium problems and semigroup of nonexpansive mappings

In this paper we propose a parallel iterative hybrid methods for finding a common element of the solution sets of a finite family of pseudomonotone equilibrium problems and the fixed points set of a semigroup-nonexpensive mappings in Hilbert spaces. Under mild conditions, we obtain the strong conver...

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2018, Vol.19 (2), p.1185-1201
Hauptverfasser: Thuy, L. Q., Wen, C.-F., Yao, J.-C., Hai, T. N.
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Sprache:eng
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Zusammenfassung:In this paper we propose a parallel iterative hybrid methods for finding a common element of the solution sets of a finite family of pseudomonotone equilibrium problems and the fixed points set of a semigroup-nonexpensive mappings in Hilbert spaces. Under mild conditions, we obtain the strong convergence of the proposed iterative process. Some numerical experiments are given to verify the efficiency the proposed algorithm.
ISSN:1787-2405
1787-2413
DOI:10.18514/MMN.2018.2114