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Parameter-Free Dual Models for Fractional Programming with Generalized Invexity

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  • Jin-Chirng Lee
  • Hang-Chin Lai

Abstract

By parameter-free approach, we establish sufficient optimality conditions for nondifferentiable fractional variational programming under certain specific structure of generalized invexity. Employing the sufficient optimality conditions, two parameter-free dual models are formulated. The weak duality, strong duality and strict converse duality theorems are proved in the framework of generalized invexity. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • Jin-Chirng Lee & Hang-Chin Lai, 2005. "Parameter-Free Dual Models for Fractional Programming with Generalized Invexity," Annals of Operations Research, Springer, vol. 133(1), pages 47-61, January.
    • Handle: RePEc:spr:annopr:v:133:y:2005:i:1:p:47-61:10.1007/s10479-004-5023-0
    DOI: 10.1007/s10479-004-5023-0
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    References listed on IDEAS

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    1. H. C. Lai & J. C. Liu & K. Tanaka, 1999. "Duality Without a Constraint Qualification for Minimax Fractional Programming," Journal of Optimization Theory and Applications, Springer, vol. 101(1), pages 109-125, April.
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    Cited by:

    1. 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.
    2. Thai Doan Chuong & Do Sang Kim, 2017. "Nondifferentiable minimax programming problems with applications," Annals of Operations Research, Springer, vol. 251(1), pages 73-87, April.
    3. 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.
    4. S. Nobakhtian & M. R. Pouryayevali, 2012. "Optimality Conditions and Duality for Nonsmooth Fractional Continuous-Time Problems," Journal of Optimization Theory and Applications, Springer, vol. 152(1), pages 245-255, January.
    5. 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.
    6. H. C. Lai & T. Y. Huang, 2008. "Minimax Fractional Programming for n-Set Functions and Mixed-Type Duality under Generalized Invexity," Journal of Optimization Theory and Applications, Springer, vol. 139(2), pages 295-313, November.
    7. 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.
    8. Sonali & N. Kailey & V. Sharma, 2016. "On second order duality of minimax fractional programming with square root term involving generalized B-(p, r)-invex functions," Annals of Operations Research, Springer, vol. 244(2), pages 603-617, September.

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