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广义Minty似变分不等式解的性质 被引量：3

Properties of the Solution in Generalized Minty Variational-like Inequalities
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摘要 在拓扑向量空间中分别讨论了下Dini方向导数形式的广义Minty似变分不等式的解、优化问题的解与径向递减函数之间的关系问题,以及Minty似变分不等式的解集的仿射性质. Some relations between solutions of generalized Minty variational-like inequalities with the form of lower Dini directional derivative and of optimization problems, as well as radial decrease properties of functions are investigated in topological vector space. Moreover, the affine solution sets of Minty variational-like inequalities are presented.
作者 肖红
机构地区 韩山师范学院
出处 《西南大学学报（自然科学版）》 CAS CSCD 北大核心 2010年第10期126-131,共6页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(60574075)
关键词 似变分不等式 不变凸集 不变凸函数 径向递减函数 variational-like inequality invex set invex function radial decrease function
分类号 O177.91 [理学—基础数学]
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参考文献10

  • 1肖刚,肖红,刘三阳.黎曼流形上弱向量似变分不等式解的存在性[J].西南大学学报（自然科学版）,2009,31(4):44-47. 被引量：4
  • 2王庆东,侯海军,肖刚.Minty向量似变分不等式与向量优化问题[J].西南大学学报（自然科学版）,2008,30(6):37-40. 被引量：8
  • 3Ya-ping Fang,Nan-jing Huang.Increasing-along-rays property, vector optimization and well-posedness[J]. Mathematical Methods of Operations Research . 2007 (1)
  • 4Giovanni P. Crespi,Ivan Ginchev,Matteo Rocca.Existence of Solutions and Star-shapedness in Minty Variational Inequalities[J]. Journal of Global Optimization . 2005 (4)
  • 5G. P. Crespi,I. Ginchev,M. Rocca.Minty Variational Inequalities, Increase-Along-Rays Property and Optimization1[J]. Journal of Optimization Theory and Applications . 2004 (3)
  • 6Yang X M,Yang X Q,Teo K L.Criteria for Generalized Invex Monotonicities. European Journal of OperationalResearch . 2005
  • 7Noor MA.Variational-Like Inequalities. Optimization . 1994
  • 8Yang X M,Li D.On Properties of Preinvex Functions. Journal of Mathematical . 2001
  • 9Minty,G. J.Bulletin of the American Mathematical Society. On the Generalization of a Direct Method of the Calculus of Variations . 1967
  • 10Giannessi,F.,Giannessi,F.,Komlósi,S.,Rapesák,T.On Minty Variational Principle. New Trends in Mathematical Programming . 1998

二级参考文献20

  • 1周彦,邓磊.多值一般混合似变分不等式的可解性[J].西南师范大学学报（自然科学版）,2005,30(6):952-955. 被引量：7
  • 2肖刚,刘三阳,尹小艳.微分流形上的最优化算法[J].西安电子科技大学学报,2007,34(3):472-475. 被引量：7
  • 3Azagra D, Ferrera J, Lopez-Mesas F. Nonsmooth Analysis and Hamilton-Jacobi Equations on Smooth Manifolds [J]. Joural of Functional Analysis, 2005, 220(2) : 304-- 361.
  • 4Ferreira O P. Dini Derivative and a Characterization for Lipschitz and Convex Functions on Riemannian Manifolds [J]. Nonlinear Analysis, 2008, 68(6): 1517- 1528.
  • 5Nemeth S Z. Variational Inequalities on Hadamard Manifolds [J]. Nonlinear Analysis, 2003, 52(5): 1491 --1498.
  • 6Barani A, Pouryayevali M R. Invex Sets and Preinvex Functions on Riemannian Manifolds [J]. Journal of Mathematical Analysis and Applications, 2007, 328(2) : 767 -- 779.
  • 7Su C H, Sehgal V M. Some Fixed Point Theorems for Condensing Multifunctions in Locally Convex Spaces [J].Proceedings of the National Academy of Sciences of U S A, 1975, 50(3) : 150 -- 154.
  • 8Lin L J, Yu Z T, Ansari Q H. Fixed Point and Maximal Element Theorems With Applications to Abstract Economies and Minimax Inequalities [J]. Journal of Mathematical Analysis and Applications, 2003, 284(56): 656 --671.
  • 9Clarke F H, Ledyaev Y S, Stenn R J, et al. Nonsmooth Analysis and Control Theory [M]. New York: Springer-Verlag, 1998: 69--96.
  • 10[1]Yang X M,Yang X Q,Teo K L.Some Remarks on the Minty Vector Variational Inequality[J],Journal of Optimization Theory and Applications,2004,121(1):193 -201.

共引文献9

同被引文献19

  • 1刘寿春.谈多元函数积分学的教学[J].合肥学院学报（自然科学版）,2004,14(1):85-87. 被引量：4
  • 2吴天毅.线性代数教学内容改革的研究与实践[J].天津轻工业学院学报,2003,18(B12):93-95. 被引量：11
  • 3高朝邦,祝宗山.关于矩阵的秩的等价描述[J].成都大学学报（自然科学版）,2006,25(1):16-18. 被引量：4
  • 4同济大学.高等数学:下册[M].6版.北京:高等教育出版社,2007:185-247.
  • 5同济大学数学系.线性代数(下册),2007.
  • 6Parida J,Sahoo M,Kumar A. A variational-like inequality prob-lem[J].Bulletin of the Australian Mathematical Society,1989,(02):225-231.
  • 7Crespi G P,Ginchev I,Rocca M. Minty variational inequalities,increase along rays property and optimization[J].Journal of Op-timization Theory and Applications,2004,(03):479-496.
  • 8Crespi G P,Ginchev I,Rocca M. Existence of solutions and star-shapedness in minty variational inequalities[J].Journal of Global Optimization,2005,(04):485-494.
  • 9Ivanov V I. Optimization and variational inequalities with pseu-doconvex functions[J].Journal of Optimization Theory and Applications,2010,(03):602-616.
  • 10Liu Caiping,Yang Xinmin,Lee H W. Characterizations of the solution sets of pseudoinvex programs and variational inequalities[J].Journal of Inequalities and Applications,2011,(01):1-13.

引证文献3

二级引证文献28

西南大学学报（自然科学版）
2010年 第10期

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