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参数集值变分不等式的解映射的有界性和连续性(英文)

Boundedness and Continuity of Solution Mappings for Parametric Set-valued Variational Inequalities
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摘要 本文借助于非空闭凸集序列的外极限集和极大单调集值映射的外极限研究了参数集值变分不等式的集值解映射的有界性和外半连续性. Based on the outer limit set of sequences of nonempty closed convex sets and the outer limit of maximal monotone set-valued mappings, boundedness and outer semi-continuity of setvalued solution mappings for parametric set-valued variational inequalities are studied in this paper.
作者 范丽亚
机构地区 聊城大学数学科学学院
出处 《应用数学》 CSCD 北大核心 2007年第2期301-306,共6页 Mathematica Applicata
基金 Supported by Colleges and Universities Science and Technology Development Foundation of Tianjin (20040401)
关键词 参数集值变分不等式 解映射 有界性 外(下)半连续性 Parametric set-valued variational inequality Solution mapping Boundedness Outer（lower） semi-continuity
分类号 O178 [理学—基础数学]
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参考文献10

  • 1Noor M A. Sensitivity analysis for quasi-variational inequalities[J]. Journal of Optimization Theory and Applications, 1997,95 (2):399-407.
  • 2范丽亚,刘三阳.参数变分不等式的灵敏性分析(英文)[J].运筹学学报,2002,6(1):61-66. 被引量：2
  • 3Kassay G, Kolumban J. Multivalued parametric variational inequalities with a-pseudomonotone maps[J]. Journal of Optimization Theory and Applications, 2000, 107 (1): 35-50.
  • 4El Farouq N. Pseudomonotone variational inequalities:convergence of proximal methods[J]. Journal of Optimization Theory and Applications, 2001, 109 (2): 311-326.
  • 5El Farouq N. Pseudomonotone variational inequalities: convergence of the auxiliary problem method [J].Journal of Optimization Theory and Applications, 2001, 111 (2):305-326.
  • 6Auslender A, Correa R. Primal and dual stability results for variational inequalities[J]. Computational Optimization and Applications, 2000, 17:117-130.
  • 7Rockafellar R T, Wets R J-B. Variational Analysis[M]. New York: Springer Verlag, 1998.
  • 8Aubin J P, Frankowska H. Set-valued Analysis[M]. Boston:Birkhauser, 1990.
  • 9Auslender A. Convergence of stationary sequences for variational inequalities with maximal monotone operators[J]. Applied Mathematics and Optimization, 1993, 28: 161-172.
  • 10Attouch H, Chbani Z, Moudafi A. Recession operators and solvability of variational problems[J]. Series on Advances in Mathematices for Applied Science, World Scientif, 1994, 18: 51-67.

二级参考文献17

  • 1Kyparisis J (1990), Sensitivity Analysis for Variational Inequalities andNonlinear Complementarity Problems, Annal of Operations Research, 27:143-174.
  • 2Mukherjee RN and Verma HL (1992), Sensitivity Analysis of Generalized VariationalInequalities, J. Math. Anal. Appl., 167:299-304.
  • 3Liu J (1995), Sensitivity Analysis in Nonlinear Programs and VariationalInequalities via Continuous Selections, SIAM J. Control. Optim., 33:1040-1060.
  • 4Yen ND (1995), Lipschitz Continuity of Solutions of Variational Inequalities witha Parametric Polyhedral Constraint, Math. Oper. Res., 20:695-708.
  • 5Bonnans JF anf Shapiro A (2000), Perturbation Analysis of Optimization Problems,SpringerVerlag, New York.
  • 6Yen ND (1995), Holder Continuity of Solutions to a Parametric VariationalInequality, Applied Mathematics and Optimization, 31:245-255.
  • 7Noor MA (1997), Sensitivity Analysis for Quasi-Variational Inequalities, Journalof Optimization Theory and Applications, 95(3):399-407.
  • 8Shi P (1991), Equivalence of Variational Inequalities and Wiener-Hopf equation,Proceedings of the Amarican Mathematical Society, 111:339-346.
  • 9Demyanov VF, Stavroulakis GE,Polyakova LN and Panagiotopoulos PD (1996), Quasidifferentiability and Nonsmooth Modelingin Mechanics, Engineering and Economics , Kluwer Academic, Holland.
  • 10Giannessi F and Maugeri A (1995), Variational Inequalities and Network EquilibriumProblems, Plenum, New York.

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应用数学
2007年 第2期

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