APPLICATIONS OF THE EXTRAGRADIENT APPROXIMATION METHOD FOR VARIATIONAL INEQUALITY PROBLEM ON FIXED POINT PROBLEM
Alongkot Suvarnamani, Mongkol Tatong · International Journal of Pure and Apllied Mathematics · 2014
We apply an iterative sequence for finding the common element of the set of fixed points of a nonexpansive mapping and the solutions of the variational inequality problem for tree inverse-strongly monotone mappings.Under suitable conditions, some strong convergence theorems for approximating a common element of the above two sets are obtained.Moreover, using the above theorem, we also apply to finding solutions of a general system of variational inequality and a zero of a maximal monotone operator in a real Hilbert space.As applications, at the end of paper we utilize our results to study the zeros of the maximal monotone and some convergence problem for strictly pseudocontractive mappings.