Duality for nonsmooth mathematical programming problems with equilibrium constraints

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• 作者：Sy-Ming Guu ; Shashi Kant Mishra…
• 关键词：90C30 ; 90C46 ; mathematical programming problems with equilibrium constraints ; Wolfe ; type dual ; Mond ; Weir dual ; convexity ; nonsmooth analysis
• 刊名：Journal of Inequalities and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,351 KB
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• 作者单位：Sy-Ming Guu (1)
  Shashi Kant Mishra (2)
  Yogendra Pandey (2)
  
  1. College of Management, Chang Gung University and Research Division, Chang Gung Memorial Hospital, Taoyuan, Taiwan
  2. Department of Mathematics, Banaras Hindu University, Varanasi, 221005, India
  
• 刊物主题：Analysis; Applications of Mathematics; Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1029-242X

文摘

In this paper, we consider the mathematical programs with equilibrium constraints (MPECs) in Banach space. The objective function and functions in the constraint part are assumed to be lower semicontinuous. We study the Wolfe-type dual problem for the MPEC under the convexity assumption. A Mond-Weir-type dual problem is also formulated and studied for the MPEC under convexity and generalized convexity assumptions. Conditions for weak duality theorems are given to relate the MPEC and two dual programs in Banach space, respectively. Also conditions for strong duality theorems are established in an Asplund space. Keywords mathematical programming problems with equilibrium constraints Wolfe-type dual Mond-Weir dual convexity nonsmooth analysis