A GENERAL ITERATIVE METHOD FOR VARIATIONAL INCLUSION PROBLEMS AND FIXED POINT PROBLEMS IN HILBERT SPACES

Abstract

In this paper, we introduce two iterative schemes by the general iterative method for finding a common element of the set of fixed points of a strictly pseudocontractive mapping and the set of solutions of a variational inclusion for an α-inverse-strongly monotone mapping and a maximal monotone mapping in a Hilbert space. Our results improve and extend the corresponding results announced by many others.