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First-order optimality conditions and duality results for multi-objective optimisation problems

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  • S. Askar
  • A. Tiwari

Abstract

In this paper, first-order optimality conditions for certain type of multi-objective optimisation problems are discussed under univexity concept. A number of duality results corresponding to this sort of multi-objective problems are also shown. Copyright Springer Science+Business Media, LLC 2009

Suggested Citation

  • S. Askar & A. Tiwari, 2009. "First-order optimality conditions and duality results for multi-objective optimisation problems," Annals of Operations Research, Springer, vol. 172(1), pages 277-289, November.
    • Handle: RePEc:spr:annopr:v:172:y:2009:i:1:p:277-289:10.1007/s10479-009-0607-3
    DOI: 10.1007/s10479-009-0607-3
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    References listed on IDEAS

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    1. Mishra, S. K., 2000. "Multiobjective second order symmetric duality with cone constraints," European Journal of Operational Research, Elsevier, vol. 126(3), pages 675-682, November.
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    Cited by:

    1. Thai Chuong & Do Kim, 2014. "Optimality conditions and duality in nonsmooth multiobjective optimization problems," Annals of Operations Research, Springer, vol. 217(1), pages 117-136, June.
    2. Qingjie Hu & Jiguang Wang & Yu Chen, 2020. "New dualities for mathematical programs with vanishing constraints," Annals of Operations Research, Springer, vol. 287(1), pages 233-255, April.
    3. Anurag Jayswal & Shipra Singh & Sarita Choudhury, 2015. "On composite vector variational-like inequalities and vector optimization problems," Computational Management Science, Springer, vol. 12(4), pages 577-594, October.
    4. S. K. Mishra & Vinay Singh & Vivek Laha, 2016. "On duality for mathematical programs with vanishing constraints," Annals of Operations Research, Springer, vol. 243(1), pages 249-272, August.
    5. S. K. Suneja & Sunila Sharma & Priyanka Yadav, 2018. "Generalized higher-order cone-convex functions and higher-order duality in vector optimization," Annals of Operations Research, Springer, vol. 269(1), pages 709-725, October.

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