Predictor–Corrector Methods for General Regularized Nonconvex Variational Inequalities

Qamrul Hasan Ansari () and Javad Balooee ()
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Qamrul Hasan Ansari: Aligarh Muslim University
Javad Balooee: Islamic Azad University

Journal of Optimization Theory and Applications, 2013, vol. 159, issue 2, No 10, 473-488

Abstract: Abstract This paper is devoted to the study of a new class of nonconvex variational inequalities, named general regularized nonconvex variational inequalities. By using the auxiliary principle technique, a new modified predictor–corrector iterative algorithm for solving general regularized nonconvex variational inequalities is suggested and analyzed. The convergence of the iterative algorithm is established under the partially relaxed monotonicity assumption. As a consequence, the algorithm and results presented in the paper overcome incorrect algorithms and results existing in the literature.

Keywords: General regularized nonconvex variational inequalities; Nonconvex sets; Predictor–corrector iterative algorithm; Prox-regularity; Convergence analysis (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-013-0352-2

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