Projection Method Approach for General Regularized Non-convex Variational Inequalities

Javad Balooee ()
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Javad Balooee: Sari Branch, Islamic Azad University

Journal of Optimization Theory and Applications, 2013, vol. 159, issue 1, No 11, 192-209

Abstract: Abstract In this paper, we investigate or analyze non-convex variational inequalities and general non-convex variational inequalities. Two new classes of non-convex variational inequalities, named regularized non-convex variational inequalities and general regularized non-convex variational inequalities, are introduced, and the equivalence between these two classes of non-convex variational inequalities and the fixed point problems are established. A projection iterative method to approximate the solutions of general regularized non-convex variational inequalities is suggested. Meanwhile, the existence and uniqueness of solution for general regularized non-convex variational inequalities is proved, and the convergence analysis of the proposed iterative algorithm under certain conditions is studied.

Keywords: Regularized non-convex variational inequalities; Iterative method; Non-convex sets; Prox-regularity; Convergence analysis (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-012-0252-x

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