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Duality for fractional interval-valued optimization problem via convexificator

Author

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  • B. Japamala Rani

    (School of Science, GITAM-Hyderabad Campus
    St. Ann’s College for Women-Mehdipatnam)

  • Krishna Kummari

    (School of Science, GITAM-Hyderabad Campus)

Abstract

In the current study, non-differentiable fractional interval-valued optimization problem (NFIVP) is studied by considering generalized invex functions. By using the optimality conditions, we investigate both types of dual problems namely Wolfe type and Mond-Weir type duals for (NFIVP) concerning invexity. Moreover, the suitable duality theorems are ascertained for both types of dual problems. Numerical examples are deliberated to substantiate the present work.

Suggested Citation

  • B. Japamala Rani & Krishna Kummari, 2023. "Duality for fractional interval-valued optimization problem via convexificator," OPSEARCH, Springer;Operational Research Society of India, vol. 60(1), pages 481-500, March.
    • Handle: RePEc:spr:opsear:v:60:y:2023:i:1:d:10.1007_s12597-022-00617-w
    DOI: 10.1007/s12597-022-00617-w
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    References listed on IDEAS

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