Symmetric duality for minimax variational problems

T. R. Gulati, Izhar Ahmad and I. Husain

Mathematical Methods of Operations Research, 1998, vol. 48, issue 1, 95 pages

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 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. Copyright Springer-Verlag Berlin Heidelberg 1998

Keywords: Key words: Symmetric duality; minimax; variational problem; self duality (search for similar items in EconPapers)
Date: 1998
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DOI: 10.1007/s001860050013

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