2015/10/28 by Dang Van Hieu, Van Hieu, Dang · 1 citation
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #Fixed Point Theorems Analysis #Optimization and Variational Analysis #math.OC #msc:65K10 #msc:65K15 #msc:90C33
paper · pdf · doi:10.48550/arxiv.1510.08201
16 pages, (submitted)
arxiv created 2015/10/28 · arxiv updated 2015/10/29
In this paper, we introduce a new hybrid algorithm for solving equilibrium problems. The algorithm combines the extragradient method and the hybrid (outer approximation) method. In this algorithm, only an optimization program is solved at each iteration without the extra-steps like as in the extragradient method and the Armijo linesearch method. A specially constructed half-space in the hybrid method is the reason for the absence of an optimization program in our algorithm. The strong convergence theorem is established and several numerical experiments are implemented to illustrate the convergence of the algorithm and compare it with others.