HYBRID METHOD FOR SOLVING PSEUDO-MONOTONE EQUILIBRIUM PROBLEMS USING BREGMAN DISTANCE

Abstract

In this article, we introduce two new algorithms for solving equilibrium problem involving pseudo-monotone and Bregman Lipschitz-type bifunction in reexive Banachspaces. The algorithms are constructed around the extragradient method and the advantageof the algorithms is that it is done without the prior knowledge of Bregman Lipschitz coefficients. Theorems of strong convergence are established under mild conditions. Finally,a numerical experiments are reported to illustrate the efficiency of the proposed algorithm.