General system for strongly accretive nonlinear variational inequalities in q-uniformly smooth Banach spaces

Abstract

The approximate solvability of a generalized system for strongly accretive nonlinear variational inequalities in q−uniformly smooth Banach spaces is studied, based on the convergence of sunny nonexpansive retrac- tion projection methods. The results presented in this paper extend and im- prove the main results of R.U.Verma(General convergence analysis for two-step projection methods and applications to variational problems, Appl.Math.Lett. 18(2005):1286-1292;Projection Methods, Algorithms, and a new system of non- linear variational inequalities, J.Comp.Math.Appl.41(2004):1025-1031).