충청수학회지 (Journal of the Chungcheong Mathematical Society)

  • 제29권3호
  • /
  • Pages.465-475
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  • 2016
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  • 1226-3524(pISSN)
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  • 2383-6245(eISSN)
충청수학회 (The Chungcheong Mathematical Society)
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OPTIMALITY AND DUALITY FOR NONDIFFERENTIABLE FRACTIONAL PROGRAMMING WITH GENERALIZED INVEXITY

  • Kim, Gwi Soo (Department of Applied Mathematics Pukyong National University) ;
  • Kim, Moon Hee (Department of Refrigeration Engineering Tongmyong University)
  • 투고 : 2016.04.27
  • 심사 : 2016.07.15
  • 발행 : 2016.08.15
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초록

We establish necessary and sufficient optimality conditions for a class of generalized nondifferentiable fractional optimization programming problems. Moreover, we prove the weak and strong duality theorems under (V, ${\rho}$)-invexity assumption.

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참고문헌

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  10. Z. Liang, H. Huang, and P. M. Pardalos, Optimality conditions and duality for a class of nonlinear fractional programming problems, Journal of Optimization Theory and Applications 110 (2001), 611-619. https://doi.org/10.1023/A:1017540412396
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피인용 문헌

  1. OPTIMALITY AND DUALITY FOR NONSMOOTH FRACTIONAL ROBUST OPTIMIZATION PROBLEMS WITH (V, ρ)-INVEXITY vol.35, pp.3, 2016, https://doi.org/10.7858/eamj.2019.025