Convergence analysis on Browder-Tikhonov regularization for second-order evolution hemivariational inequality

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• 作者：Yibin Xiao ; Guoji Tang ; Xianjun Long ; Nanjing Huang
• 关键词：second ; order evolution hemivariational inequality (SOEHVI) ; Browder ; Tikhonov regularization ; Clarke’s generalized gradient ; O224 ; O177 ; 47J20 ; 34G25 ; 49J52
• 刊名：Applied Mathematics and Mechanics
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：36
• 期：10
• 页码：1371-1382
• 全文大小：183 KB
• 参考文献：[1]Zeidler, E. Nonlinear Functional Analysis and Its Applications, IIA/B, Springer-Verlag, Berlin (1990)CrossRef
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• 作者单位：Yibin Xiao (1)
  Guoji Tang (2)
  Xianjun Long (3)
  Nanjing Huang (4)
  
  1. School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731, China
  2. School of Science, Guangxi University for Nationalities, Nanning, 530006, China
  3. College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, China
  4. Department of Mathematics, Sichuan University, Chengdu, 610064, China
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Applications of Mathematics
  Mechanics
  Mathematical Modeling and IndustrialMathematics
  Chinese Library of Science
  
• 出版者：Shanghai University, in co-publication with Springer
• ISSN：1573-2754

文摘

This paper studies the Browder-Tikhonov regularization of a second-order evolution hemivariational inequality (SOEHVI) with non-coercive operators. With duality mapping, the regularized formulations and a derived first-order evolution hemivariational inequality (FOEHVI) for the problem considered are presented. By applying the Browder-Tikhonov regularization method to the derived FOEHVI, a sequence of regularized solutions to the regularized SOEHVI is constructed, and the strong convergence of the whole sequence of regularized solutions to a solution to the problem is proved. Keywords second-order evolution hemivariational inequality (SOEHVI) Browder-Tikhonov regularization Clarke’s generalized gradient