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Correspondence between a new pair of nondifferentiable mixed dual vector programs and higher-order generalized convexity

Author

Listed:
  • N. Kailey

    (Thapar Institute of Engineering and Technology)

  • Sonali Sethi

    (Thapar Institute of Engineering and Technology)

  • Vivek Dhingra

    (Thapar Institute of Engineering and Technology)

Abstract

In this paper, a new pair of higher-order nondifferentiable multiobjective mixed symmetric dual programs over arbitrary cones is formulated, where each of the objective functions contains a support function of a compact convex set. Usual duality theorems are established under higher-order K- $$(F,\alpha ,\rho ,d)$$ ( F , α , ρ , d ) -convexity assumptions. Also, the example of a higher-order dual pair, which shows that higher-order provides tighter bounds for the value of the objective function of the primal and dual problem, is given in the paper. Several known results are also discussed as special cases.

Suggested Citation

  • N. Kailey & Sonali Sethi & Vivek Dhingra, 2024. "Correspondence between a new pair of nondifferentiable mixed dual vector programs and higher-order generalized convexity," OPSEARCH, Springer;Operational Research Society of India, vol. 61(3), pages 1507-1540, September.
    • Handle: RePEc:spr:opsear:v:61:y:2024:i:3:d:10.1007_s12597-023-00732-2
    DOI: 10.1007/s12597-023-00732-2
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    References listed on IDEAS

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    1. Neeraj Kumar Bhoi & Harpreet Singh & Saurabh Pratap & Pramod K. Jain, 2022. "Chemical reaction optimization algorithm for machining parameter of abrasive water jet cutting," OPSEARCH, Springer;Operational Research Society of India, vol. 59(1), pages 350-363, March.
    2. Suneja, S. K. & Aggarwal, Sunila & Davar, Sonia, 2002. "Multiobjective symmetric duality involving cones," European Journal of Operational Research, Elsevier, vol. 141(3), pages 471-479, September.
    3. Sumeetha Natesan & Deepika Thakur & Goutam Dutta & Manoj Kumar Tiwari, 2023. "Pricing and revenue management for bank home loans: a mathematical approach," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 656-687, June.
    4. Ravi P. Agarwal & Izhar Ahmad & S. K. Gupta & N. Kailey, 2011. "Generalized Second-Order Mixed Symmetric Duality in Nondifferentiable Mathematical Programming," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-14, March.
    5. Khurana, Seema, 2005. "Symmetric duality in multiobjective programming involving generalized cone-invex functions," European Journal of Operational Research, Elsevier, vol. 165(3), pages 592-597, September.
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