Duality in epsilon-variational inequality problems

作者：Lalitha C S; Bhatia Guneet^*

来源：Journal of Mathematical Analysis and Applications, 2009, 356(1): 168-178.

DOI：10.1016/j.jmaa.2009.02.041

• epsilon-Variational inequality
• epsilon-Convexity
• epsilon-Conjugacy
• Duality
• Gap function
• Lagrangian
• Saddle point

In this paper a general analysis of duality for an extended epsilon-variational inequality problem based on the notions of epsilon-convexity and epsilon-conjugacy is performed. Optimal solutions of both the primal and dual problems are also related to the saddle point of an associated Lagrangian. Gap functions for these problems are proposed. An existence theorem for the extended E-variational inequality is also established by means of the KKM lemma.

• 出版日期2009-8-1