NEW ITERATIVE ALGORITHMS FORPSEUDO-MONOTONE EQUILIBRIUMPROBLEMS

摘要

In this paper, we introduce a new algorithm for finding a common element of the set of fixed points of p strict pseudocontractions and the solution set of a pseudomonotone and Lipschitz-type continuous equilib-rium problem The scheme is based on the :dea of extragradient methods and fixed point iteration methods We show that the iterative sequences generated by this algorithm converge strongly to the common element under some mild conditions imposed on algorithm parameters in a real Hilbert space.