A new method for solving a system of generalized nonlinear variational inequalities in Banach spaces

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摘要

The purpose of this paper is by using the generalized projection approach to introduce an iterative scheme for finding a solution to a system of generalized nonlinear variational inequality problem. Under suitable conditions, some existence and strong convergence theorems are established in uniformly smooth and strictly convex Banach spaces. The results presented in the paper improve and extend some recent results.

论文关键词:Generalized projection mapping,A system of generalized nonlinear variational inequality,Uniformly smooth Banach space,Lyapunov functional,Normalized duality mapping

论文评审过程:Available online 19 January 2011.

论文官网地址:https://doi.org/10.1016/j.amc.2011.01.021