Some equivalence results for well-posedness of hemivariational inequalities

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• 作者：Yi-bin Xiao (1)
  Xinmin Yang (2)
  Nan-jing Huang (3)
  
  1. School of Mathematical Sciences ; University of Electronic Science and Technology of China ; Chengdu ; 611731 ; Sichuan ; People鈥檚 Republic of China
  2. Department of Mathematics ; Chongqing Normal University ; Chongqing ; 400047 ; People鈥檚 Republic of China
  3. Department of Mathematics ; Sichuan University ; Chengdu ; 610064 ; Sichuan ; People鈥檚 Republic of China
  
• 关键词：Hemivariational inequality ; Clarke鈥檚 generalized gradient ; Well ; posedness ; Relaxed monotonicity ; 49K40 ; 47J20 ; 49J52
• 刊名：Journal of Global Optimization
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：61
• 期：4
• 页码：789-802
• 全文大小：183 KB
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  19. Motreanu, D, Panagiotopoulos, PD (1999) Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities. Kluwer, Dordrecht
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• 刊物类别：Business and Economics
• 刊物主题：Economics
  Operation Research and Decision Theory
  Computer Science, general
  Real Functions
  Optimization
  
• 出版者：Springer Netherlands
• ISSN：1573-2916

文摘

In the present paper, we are devoted to exploring conditions of well-posedness for hemivariational inequalities in reflexive Banach spaces. By using some equivalent formulations of the hemivariational inequality considered under different monotonicity assumptions, we establish two kinds of conditions under which the strong well-posedness and the weak well-posedness for the hemivariational inequality considered are equivalent to the existence and uniqueness of its solution, respectively.