HYBRID ITERATIVE METHOD FOR A GENERAL SYSTEM OF VARIATIONAL INEQUALITIES IN HILBERT SPACES WITH APPLICATIONS
Suwicha Imnang · International Journal of Pure and Apllied Mathematics · 2013
The purpose of this paper is to investigate the problem of finding a common element of the set of solutions of a general system of variational inequality problems for α-inverse-strongly monotone mappings, the set of solu- tions of mixed equilibrium problems and the set of common fixed points of a finite family of nonexpansive mappings in a real Hilbert space. Furthermore, we apply our main result with the problem of approximating a zero of a finite family of maximal monotone mappings in Hilbert spaces. Our main result ex- tends and improves the recent results of Ceng, Wang and Yao (1) and many others.