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Optimality and Duality for a Class of Nondifferentiable Multiobjective Fractional Programming Problems

Author

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  • D. S. Kim

    (Pukyong National University)

  • S. J. Kim

    (Pukyong National University)

  • M. H. Kim

    (Pukyong National University)

Abstract

In this paper, we consider a class of nondifferentiable multiobjective fractional programs in which each component of the objective function contains a term involving the support function of a compact convex set. We establish necessary and sufficient optimality conditions and duality results for weakly efficient solutions of nondifferentiable multiobjective fractional programming problems.

Suggested Citation

  • D. S. Kim & S. J. Kim & M. H. Kim, 2006. "Optimality and Duality for a Class of Nondifferentiable Multiobjective Fractional Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 129(1), pages 131-146, April.
    • Handle: RePEc:spr:joptap:v:129:y:2006:i:1:d:10.1007_s10957-006-9048-1
    DOI: 10.1007/s10957-006-9048-1
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    References listed on IDEAS

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    1. 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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    Cited by:

    1. Haijun Liu & Neng Fan & Panos M. Pardalos, 2012. "Generalized Lagrange Function and Generalized Weak Saddle Points for a Class of Multiobjective Fractional Optimal Control Problems," Journal of Optimization Theory and Applications, Springer, vol. 154(2), pages 370-381, August.
    2. Thai Doan Chuong & Do Sang Kim, 2016. "A class of nonsmooth fractional multiobjective optimization problems," Annals of Operations Research, Springer, vol. 244(2), pages 367-383, September.
    3. X. J. Long, 2011. "Optimality Conditions and Duality for Nondifferentiable Multiobjective Fractional Programming Problems with (C,α,ρ,d)-convexity," Journal of Optimization Theory and Applications, Springer, vol. 148(1), pages 197-208, January.

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