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  • 标题:On general quasi-variational inequalities
  • 本地全文:下载
  • 作者:Muhammad Aslam Noor ; Muhammad Aslam Noor
  • 期刊名称:Journal of King Saud University - Science
  • 印刷版ISSN:1018-3647
  • 出版年度:2012
  • 卷号:24
  • 期号:1
  • 页码:81-88
  • DOI:10.1016/j.jksus.2010.07.002
  • 语种:English
  • 出版社:Elsevier
  • 摘要:Abstract A new class of general quasi-variational inequalities involving two operators is introduced and studied. Using essentially the projection operator technique, we establish the equivalence between the general quasi-variational inequalities and the fixed-point problem and the Wiener–Hopf equations. These alternative equivalent formulations have been used to suggest and analyze several iterative methods for solving the general quasi-variational inequalities. We also discuss the convergence criteria of these iterative methods under some suitable conditions. Several special cases are also discussed.
  • 关键词:Variational inequalities; Non–convex functions; Fixed-point problem; Wiener–Hopf equations; Projection operator; Convergence;
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