Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities

Javad Balooee, Yeol Je Cho and Mee Kwang Kang

Journal of Applied Mathematics, 2012, vol. 2012, 1-18

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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:690648

DOI: 10.1155/2012/690648

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