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含参数H-单调算子变分包含组的灵敏性分析 被引量:1

Sensitivity Analysis for a New System of Generalized Parametric Variational Inclusions Involving H-Monotone Operator
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摘要 在Hilbert空间中,引入并研究了一类新的关于含参数H-单调算子的变分包含组问题.利用不动点定理证明了这类广义变分包含组解的存在性和唯一性,并且讨论了这类问题的解的连续性. A new system of generalized parametric variational inclusions involving H-Monotone Operator is introduced and studied in Hilbert Space. The paper proves the existence and uniqueness of solution of the system of parametric variational inclusions by using the fixed point theorem. At last, it also analyzes the sensitivity for its solution.
出处 《延安大学学报(自然科学版)》 2007年第3期7-9,13,共4页 Journal of Yan'an University:Natural Science Edition
关键词 H-单调算子 变分包含组 存在性和唯一性 连续性 H-Monotone Operator the system of generalized parametric variational existence uniqueness sensitivity
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参考文献5

  • 1Fang Y P,Huang N J.H-Monotone operator and resolvent operator technique for variational inclusions[J].Appl.Math.Comput,2003,145:759-803.
  • 2Han Z,Fang Y P.Extended variational inclusions with H-Monotone operator[J].Journal of Sichuan University,2004,41(2):279-283.
  • 3Huang N J,Fang Y P.A New class of general variational inclusiongs involving maximal-monotone mappings[J].Publ.Math.Debrecen,2003,62:83-98.
  • 4马乐荣,高兴慧.含参变分包含组解的灵敏性分析[J].云南大学学报(自然科学版),2003,25(5):395-397. 被引量:5
  • 5高兴慧.关于H-单调算子的广义变分包含组[J].河南科学,2006,24(3):322-324. 被引量:2

二级参考文献9

  • 1NOOR M A, NOOR K I. Sensitivity analysis for quasivariational inclusions[J]. Math Anal Appl, 1999, 236:290-299.
  • 2AGARWAL R P, CHO Y J, HUANG N J. Sensitivity analysis for strongly nonlinear quasi-variational inclusions[J]. J Appl Math Lett, 2000, 13:19-24.
  • 3NOOR M A. Sensitivity analysis for quasi-variational inclusions inequality[J]. J Optim Theory Appl, 1997, 95:399-407.
  • 4Fang Y P,Huang N J.H-Monotone operator and resolvent operator technique for variational inclusions[J].Appl.Math.Comput,2003,145:759-803.
  • 5Han Z,Fang Y P.Extended variational inclusions with H-Monotone operators[J].Journal of Sichuan University(Natu.Sci.Ed.),2004,41(2):279-283.
  • 6Huang N J,Fang Y P.A new class of general variational inclusions involving maximal η-monotone mappings[J].Publ.Math.Debrecen,2003,62:83-98.
  • 7董华,高承佳.非线性隐拟变分包含的解的灵敏性(英文)[J].四川大学学报(自然科学版),2002,39(1):13-17. 被引量:6
  • 8冀小明,沙帆.含参变分不等式组的解的Lipschitz连续性分析[J].四川大学学报(自然科学版),2002,39(4):627-631. 被引量:4
  • 9马乐荣,高兴慧.含参变分包含组解的灵敏性分析[J].云南大学学报(自然科学版),2003,25(5):395-397. 被引量:5

共引文献4

同被引文献3

  • 1Fang Y P, Huang N J. H- Monotone operator and resolvent Technique for variational inclusions [ J ]. Appl. Math. Comput,2003 (145) :759 - 803.
  • 2Fang Y P, Huang N J. A new system of variational inclusions with ( H, η) - Monotone operator in Hilbert spaces [ J ]. Computers Math Appl, 2005,49 ( 2/3 ) : 365 - 374.
  • 3高兴慧,马乐荣,高兴安.一类(H,η)-单调算子的变分包含组[J].大学数学,2009,25(1):48-51. 被引量:2

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