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关于KT-伪Ⅱ型不变凸性的一个注记 被引量:2

A Note on KT-pseudoinvexity-Ⅱ
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摘要 在KT-伪Ⅱ型不变凸性下研究了一类非可微多目标规划的Mond-Weir对偶模型的限制逆对偶定理;进一步考虑了该类问题的混合对偶模型的弱对偶定理、强对偶定理、逆对偶定理. In this paper, we investigate restricted converse dual theorem of a class of nondifferentiable multiobjective programming' s Mond Weir dual model under KT-pseudoinvexity- Ⅱ. Furthermore, mixed dual model is introduced. The theorems of weak duality, strong duality and converse duality are obtained.
出处 《重庆工商大学学报(自然科学版)》 2012年第1期16-18,共3页 Journal of Chongqing Technology and Business University:Natural Science Edition
基金 重庆市教委研究项目(KJ100608) 重庆市自然科学基金项目(CSTC2010BB2090)
关键词 KT-伪Ⅱ型不变凸性 Mond—Weir对偶 混合对偶 KT向量临界点 KT-pseudoinvexity-Ⅱ Mond-Weir Duality mixed duality KT vector critical point
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参考文献7

  • 1MARTIN D M. The essence of invexity[ J]. J Optim Theory Appl,1985,47(1) :65-76.
  • 2ARANA M, RUFIAN A, OSUNA R, et al. Pseudoinvexity, optimality conditions and efficiency in multiobjective problems; duality [J]. Nonlinear Anal TMA,2008,68 (1) :24-34.
  • 3ARANA M, RUFIAN A, OSUNA R, et al. A characterization of pseudoinvexity in multiobjective programming [ J ]. Math Comput Modelling,2008,48 : 1719-1723.
  • 4MISHRA S K, WANG S Y, LAI K K. Optimality and duality in nondifferentiable and multiobjective programming [ J ]. J Global Optim ,2004,29:425-438.
  • 5SACH P H, KIM D S, LEE G M. Generalized convexity and nonsmooth problems of vector optimization [ J ]. J Glob Optim,2005, 31:383-403.
  • 6ARANA M, RUIZ G, RUFIAN A, et al. A characterization of pseudoinvexity for the efficiency in non-differentiable multiobjective problems [ J ]. Duality Nonlinear Anal TMA, 2010,73 (4) : 1109-1117.
  • 7CLARKE F H. Optimization and Nonsmooth Analysis [ M ]. New York:John Wiety, 1983.

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