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Symmetric duality for minimax variational problems

Author

Listed:
  • T. R. Gulati
  • Izhar Ahmad
  • I. Husain

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

Suggested Citation

  • T. R. Gulati & Izhar Ahmad & I. Husain, 1998. "Symmetric duality for minimax variational problems," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 48(1), pages 81-95, September.
    • Handle: RePEc:spr:mathme:v:48:y:1998:i:1:p:81-95
    DOI: 10.1007/s001860050013
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    Cited by:

    1. Ahmad, I. & Sharma, Sarita, 2008. "Symmetric duality for multiobjective fractional variational problems involving cones," European Journal of Operational Research, Elsevier, vol. 188(3), pages 695-704, August.
    2. Ahmad, I. & Husain, Z., 2007. "Minimax mixed integer symmetric duality for multiobjective variational problems," European Journal of Operational Research, Elsevier, vol. 177(1), pages 71-82, February.

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