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Higher-order Mond-Weir converse duality in multiobjective programming involving cones 被引量:1

Higher-order Mond-Weir converse duality in multiobjective programming involving cones
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摘要 In this work,we established a converse duality theorem for higher-order Mond-Weir type multiobjective programming involving cones.This flls some gap in recently work of Kim et al.[Kim D S,Kang H S,Lee Y J,et al.Higher order duality in multiobjective programming with cone constraints.Optimization,2010,59:29–43]. In this work, we established a converse duality theorem for higher-order Mond-Weir type multiob- jective programming involving cones. This fills some gap in recently work of Kim et al. [Kim D S, Kang H S, Lee Y J, et al. Higher order duality in inultiobjective programming with cone constraints. Optimization, 2010, 59: 29-43].
出处 《Science China Mathematics》 SCIE 2013年第11期2389-2392,共4页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China(Grant Nos.10831009 and 11271391) the Natural Science Foundation of Chongqing(Grant No.CSTC2011BA0030)
关键词 MOND-WEIR对偶 多目标规划 高阶 逆对偶定理 对偶性 multiobjective programming, higher order Mond-Weir dual model, converse duality theorem,cones
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  • 1Chen X. Higher order symmetric duality in non-differentiable multiobjective programming problems. J Math Anal Appl, 2004, 290:423-435.
  • 2Craven B D. Lagrangian conditions and quasiduality. Bull Aust Math Soc, 1977, 16:325-339.
  • 3Kim D S, Kang H S, Lee Y J, et al. Higher order duality in multiobjective programming with cone constraints. Optimization, 2010, 59:29-43.
  • 4Mangasarial~ O L. Second and higher order duality in nonlinear programming. J Math Anal Appl, 1975, 51:607-620.
  • 5Mishra S K. Non-differentiable higher order symmetric duality in mathematical programming with generalized invexity. European J Oper Res, 2005, 167:28-34.
  • 6Mishra S K, Rueda N G. Higher-order generalized invexity and duality in nondifferentiable mathematical programming. J Math Ana! Appl, 2002, 272:496-506.
  • 7Mond B, Weir T. Generalized convexity and higher order duality. J Math Sci, 1981 1983, 16 18:74-94.
  • 8Mond B, Zhang 3. Higher order invexity and duality in mathematical programming. In: Crouzeix a P, et al., eds. Generalized Convexity, Generalized Monotonicity: Recent Results. Dordrecht/Norwell, MA: Kluwer Academic, 1998, 357-372.
  • 9Yang X M, Teo K L, Yang X Q. Higher order generalized convexity and duality in nondifferentiable nmltiobjective mathematicl programming. J Math Anal Appl, 2004, 297:48-55.
  • 10Yang X M, Yang X Q, Teo K L. Higher-order symmetric duality in multiobjective programming with invexity. J Ind Manag Optim, 2008, 4:385-391.

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