Symmetric duality for minimax variational problems

Symmetric duality for minimax variational problems

0.00 Avg rating0 Votes
Article ID: iaor19992572
Country: Germany
Volume: 48
Issue: 1
Start Page Number: 81
End Page Number: 95
Publication Date: Jan 1998
Journal: Mathematical Methods of Operations Research (Heidelberg)
Authors: , ,
Keywords: duality
Abstract:

Wolfe and Mond–Weir type symmetric minimax dual variational problems are formulated and usual duality theorems are established under convexity–concavity and pseudoconvexity-pseudoconcavity hypotheses respectively on the function f(t,x(t), &xdot;(t), y(t), &ydot;(t)) that appears in the two distinct dual pairs. Under an additional condition on the function the minimax variational problems are shown to be self duals. It is also discussed that our duality theorems can be viewed as dynamic generalization of the corresponding (static) symmetric and self duality theorems of minimax nonlinear mixed integer programming.

Reviews

Required fields are marked *. Your email address will not be published.