Nguyễn Đức Hiền - The extragradient-Armijo method for pseudomonotone equilibrium problems and strict pseudocontractions

Ngày: 21/08/2015

In this article, we present a new iteration method for finding a common element of the set of fixed points of p strict pseudocontractions and the set of solutions of equilibrium problems for pseudomonotone bifunctions without Lipschitz-type continuous conditions. The iterative process is based on the extragradient method and Armijo-type linesearch techniques. We obtain weak convergence theorems for the sequences generated by this process in a real Hilbert space.