논문KCI 등재
ON SUFFICIENCY AND DUALITY FOR FRACTIONAL ROBUST OPTIMIZATION PROBLEMS INVOLVING (V, ρ)-INVEX FUNCTION
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In this paper, we prove a sufficient optimality theorems for the problem (FP) under (V,ρ)-invexity assumption. And we give Mond-Weir type dual problem and proved weak and strong duality theorem under (V, ρ)-invexity.
Abstract
In this paper, we prove a sufficient optimality theorems for the problem (FP) under (V,ρ)-invexity assumption. And we give Mond-Weir type dual problem and proved weak and strong duality theorem under (V, ρ)-invexity.
참고문헌 (7)
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- A. Ben-Tal, "Robust-optimization-methodology and applications", Math. Program., Ser B, 92, pp.453~480 (2002)
- D. Bertsimas, "Robust linear optimization under general norms", Oper. Res. Lett., 32, pp.510~516 (2004)
- V. Jeyakumar, "Robust duality for generalized convex programming problems under data uncertainty", Nonlinear Anal., 75, pp.1362~1373 (2012)
- 김문희, "Robust duality for generalized invex programming problems", 대한수학회논문집, 28(2), pp.419~423 (2013), 대한수학회
- 김문희, "Optimality Conditions and Duality in Fractional Robust Optimization Problems", East Asian Mathematical Journal, 31(3), pp.345~349 (2015), 영남수학회[DOI]
- H. Kuk, "Nonsmooth multiobjective programs with (V, ρ)-invexity", Indian Journal of Pure and Applied Mathematics, 29, pp.405~412 (1998)
관련 논문AI추천
ON SUFFICIENCY AND DUALITY FOR ROBUST OPTIMIZATION PROBLEMS INVOLVING (V, ρ)-INVEX FUNCTIONS김귀수, 김문희영남수학회 · East Asian Mathematical Journal2017 · 제33권 제3호Optimality and Duality for Nonsmooth Fractional Robust Optimization Problems with $(V, \rho)$-Invexity김문희영남수학회 · East Asian Mathematical Journal2019 · 제35권 제3호Optimality Conditions and Duality in Fractional Robust Optimization Problems김귀수, 김문희영남수학회 · East Asian Mathematical Journal2015 · 제31권 제3호Duality theorem and vector saddle point theorem for robust multiobjective optimization problems김문희대한수학회 · 대한수학회논문집2013 · 제28권 제3호On Optimality and Duality for Generalized Fractional Robust Optimization Problems김귀수, 김문희영남수학회 · East Asian Mathematical Journal2015 · 제31권 제5호Second-order univex functions and generalized duality models for multiobjective programming problems containing arbitrary normsG. J. Zalmai대한수학회 · 대한수학회지2013 · 제50권 제4호
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