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Correspondence between a new class of generalized cone convexity and higher order duality

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  • Arshpreet Kaur

    (Thapar Institute of Engineering and Technology)

  • Mahesh K Sharma

    (Thapar Institute of Engineering and Technology)

Abstract

In this paper, a new class of generalized higher order cone convex functions is first introduced. A fractional nondifferentiable vector optimization problem is discussed in which each component of objective and constraints contain support function. Then a Schaible type dual model is constructed for this vector programming problem. Lastly weak and strong duality theorems are formulated and proved.

Suggested Citation

  • 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.
    • Handle: RePEc:spr:opsear:v:59:y:2022:i:2:d:10.1007_s12597-021-00526-4
    DOI: 10.1007/s12597-021-00526-4
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    References listed on IDEAS

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    1. 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.
    2. D. H. Yuan & X. L. Liu & A. Chinchuluun & P. M. Pardalos, 2006. "Nondifferentiable Minimax Fractional Programming Problems with (C, α, ρ, d)-Convexity," Journal of Optimization Theory and Applications, Springer, vol. 129(1), pages 185-199, April.
    3. Z. A. Liang & H. X. Huang & P. M. Pardalos, 2001. "Optimality Conditions and Duality for a Class of Nonlinear Fractional Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 110(3), pages 611-619, September.
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