Three-step iterative algorithms for variational inequalities and nonexpansive mappings
Xin Feng Zhu · Journal of Sichuan University · 2009
In this paper, a class of implicit quasi-variational inequalities in Hilbert spaces is studied. Using projection technique, the existence of solutions for the implicit quasi-variational inequalities is obtained, and a new three-step iterative algorithm is constructed for solving it. It is proved that the iteratire sequences generated by the algorithm is convergent to the common element of the set of common fixed points of three nonexpansive mappings and the solutions set of the implicit quasi-variational inequalities.