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2012 Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities
Javad Balooee, Yeol Je Cho, Mee Kwang Kang
J. Appl. Math. 2012(SI03): 1-18 (2012). DOI: 10.1155/2012/690648

Abstract

A new system of extended general nonlinear regularized nonconvex set-valued variational inequalities is introduced, and the equivalence between the extended general nonlinear regularized nonconvex set-valued variational inequalities and the fixed point problems is verified. Then, by this equivalent formulation, a new perturbed projection iterative algorithm with mixed errors for finding a solution of the aforementioned system is suggested and analyzed. Also the convergence of the suggested iterative algorithm under some suitable conditions is proved.

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Javad Balooee. Yeol Je Cho. Mee Kwang Kang. "Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities." J. Appl. Math. 2012 (SI03) 1 - 18, 2012. https://doi.org/10.1155/2012/690648

Information

Published: 2012
First available in Project Euclid: 3 January 2013

zbMATH: 1235.49016
MathSciNet: MR2861935
Digital Object Identifier: 10.1155/2012/690648

Rights: Copyright © 2012 Hindawi

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Vol.2012 • No. SI03 • 2012
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