Parallel extragradient - viscosity methods for equilibrium problems and fixed point problems

Autor:	Van Hieu, Dang
Rok vydání:	2016
Předmět:	Mathematics - Optimization and Control 90C33 68W10 65K10
Druh dokumentu:	Working Paper
Popis:	In this paper, we propose two parallel extragradient - viscosity methods for finding a particular element in the common solution set of a system of equilibrium problems and finitely many fixed point problems. This particular point is the unique solution of a variational inequality problem on the common solution set. The main idea of the paper is to combine three methods including the extragradient method, the Mann iteration method, the hybrid steepest-descent method with the parallel splitting-up technique to design the algorithms which improve the performance over some existing methods. The strongly convergent theorems are established under the widely used assumptions for equilibrium bifunctions. Comment: 18 pages, 2 figures, submitted
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1603.01798 Zobrazit plný text záznamu View this record from Arxiv