General System for Strongly Accretive Nonlinear Variational Inequalities in q−Uniformly Smooth Banach Spaces

نویسندگان

  • Rudong Chen
  • Linfang Xing
چکیده

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 retraction projection methods. The results presented in this paper extend and improve 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;ProjectionMethods, Algorithms, and a new system of nonlinear variational inequalities, J.Comp.Math.Appl.41(2004):1025-1031]. Mathematics Subject Classification: 47H09, 47H10, 47J20

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تاریخ انتشار 2007