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Symmetric duality for minimax variational problems

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Roorkee, Roorkee-247 667, India (e-mail: maths@rurkiu.ernet.in), , , , , , IN

    T. R. Gulati

  2. Department of Mathematics, Aligarh Muslim University, Aligarh-202 001, India, , , , , , IN

    Izhar Ahmad

  3. Department of Mathematics, Regional Engineering College, Hazratbal, Srinagar, Kashmir-190 006, India, , , , , , IN

    I. Husain

Authors
  1. T. R. Gulati
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  2. Izhar Ahmad
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  3. I. Husain
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Received April 1996/Revised version February 1997

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Gulati, T., Ahmad, I. & Husain, I. Symmetric duality for minimax variational problems. Mathematical Methods of OR 48, 81–95 (1998). https://doi.org/10.1007/s001860050013

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  • DOI: https://doi.org/10.1007/s001860050013

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