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Higher - order duality for multiobjective optimization problems containing support functions over cones

Author

Listed:
  • Meetu Bhatia Grover

    (University of Delhi)

  • Muskan Kapoor

    (University of Delhi)

Abstract

In this paper a new class of higher order (F, ρ, σ)- type I functions over cones are defined for a multiobjective programming problem, which subsumes several known studied classes. A higher order Mond-Weir type dual program is formulated for a non-differentiable multiobjective programming problem over cones where the objective functions and the constraints contain support functions of compact convex sets in Rn. Weak and strong duality results are established by using the above defined functions.

Suggested Citation

  • Meetu Bhatia Grover & Muskan Kapoor, 2016. "Higher - order duality for multiobjective optimization problems containing support functions over cones," OPSEARCH, Springer;Operational Research Society of India, vol. 53(3), pages 523-537, September.
    • Handle: RePEc:spr:opsear:v:53:y:2016:i:3:d:10.1007_s12597-015-0242-5
    DOI: 10.1007/s12597-015-0242-5
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    Cited by:

    1. Arshpreet Kaur & Mahesh K Sharma, 2022. "Correspondence between a new class of generalized cone convexity and higher order duality," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 550-560, June.

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