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1. AN EXTRAGRADIENT-LIKE PARALLEL METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS AND SEMIGROUP OF NONEXPANSIVE MAPPINGS.

Author

THUY, L. Q., WEN, C.-F., YAO, J.-C., and HAI, T. N.

Subjects
*SEMIGROUPS (Algebra), *EQUILIBRIUM, *NONEXPANSIVE mappings, *FIXED point theory, *ALGORITHMS, *MATHEMATICS
Abstract

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. [ABSTRACT FROM AUTHOR]

Published
2018
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