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

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

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Article ID: iaor20113542
Volume: 217
Issue: 16
Start Page Number: 6830
End Page Number: 6837
Publication Date: Apr 2011
Journal: Applied Mathematics and Computation
Authors: , , ,
Keywords: iterative methods, projection algorithms, Banach space
Abstract:

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.

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