Predictor–Corrector Methods for General Regularized Nonconvex Variational Inequalities

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• 作者：Qamrul Hasan Ansari (1) (2)
  Javad Balooee (3)
  
• 关键词：General regularized nonconvex variational inequalities ; Nonconvex sets ; Predictor–corrector iterative algorithm ; Prox ; regularity ; Convergence analysis
• 刊名：Journal of Optimization Theory and Applications
• 出版年：2013
• 出版时间：November 2013
• 年：2013
• 卷：159
• 期：2
• 页码：473-488
• 全文大小：
• 作者单位：Qamrul Hasan Ansari (1) (2)
  Javad Balooee (3)
  
  1. Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India
  2. Department of Mathematics & Statistics, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
  3. Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
  
• ISSN：1573-2878

文摘

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.