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Banach空间中的隐式集值变分包含的一种扰动算法 被引量：1

A Perturbed Algorithm for Implicit Set-valued Variational Inclusions in Banach Spaces
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摘要 　在Banach空间中研究了一类新的变分包含——隐式集值变分包含问题,得到了隐式变分包含解的等价性与存在性命题及其解的扰动算法,推广、改进了国内外近期获得的一些结果. In this paper, a pertubed method for solving a new type of set-valued variationalinclusions in real Banach spaces is studied. The result presented in this paper generalize, improve, and unify a number of recent results.
作者 滕兴虎 张晓岚
机构地区 解放军理工大学理学院数理系 徐州师范大学数学系
出处 《应用泛函分析学报》 CSCD 2003年第4期330-337,共8页 Acta Analysis Functionalis Applicata
关键词 变分包含解 集值 扰动算法 BANACH空间 隐式 等价性 推广 近期 问题 改进 accretive mapping variational Inequality set-valued variational inclusion resovent equation
分类号 O177 [理学—基础数学] O241.81 [理学—计算数学]
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参考文献17

  • 1AslamNoor M. Generalized set-valuedvariational inclusions and resolvent equations [J]. J Math Anal Appl, 1998, 228: 206-220.
  • 2Noor M Aslam. Algorithms for general monotone mixed variational inequalities[J]. JMath Anal Appl,1998, 229: 330-343.
  • 3Noor M Aslam. Equivalence of variational inclusions with resolvent equations[J].Nonlinear Anal,2000, 41: 963-970.
  • 4Chang S S, Cho Y J, Lee B S, Jung I H. Generalized set-valued variationalinclusions in Banach spaces [J]. J Math Anal Appl, 2000, 246: 409-422.
  • 5Livinus U Uko. Stroingly nonlinear generalized equations[J]. J Math Anal Appl,1998, 220: 65-76.
  • 6Noor M Aslam, Noor K I. Sensitivity analysis for quasi-variational inclusions[J]. JMath An al Appl,1999, 236: 290-299.
  • 7Hassouni A, Moudafi A. A perturbed algoritm for variational inclusions[J]. J MathAnal Appl, 1994,185: 706-712.
  • 8Kazmi K R. Mann and Ishikawa type perturbed iterative algorithms for generalizedquasi-variational inclusions[J]. J Math Anal Appl, 1997, 209: 572-584.
  • 9Ding X P. Perturbed proximal point algorithms for generalized quasi-variationalinclusions[J]. J Math Anal Appl, 1997, 210: 88-101.
  • 10Samir Adly. Perturbed algorithms and sensitivity analysis for a general class ofvariational inclusion[J].J Math Anal Appl, 1996, 201: 609-630.

同被引文献10

  • 1Noor M Aslam,Noor K I.Sensitivity analysis for quasi - variational inclusions[].Journal of Mathematical Analysis and Applications.1999
  • 2Hassouni A,Moudafi A.A perturbed algoritm for variational inclusions[].Journal of Mathematical Analysis and Applications.1994
  • 3Noor M Aslam,Noor K I,Rassis Th.Set - valued reslolvent equations and mixed variational inequalities[].Journal of Mathematical Analysis and Applications.1998
  • 4Livinus U Uko.Strongly nonlinear generalized equations[].Journal of Mathematical Analysis and Applications.1998
  • 5Noor M Aslam.Algorithms for general monotone mixed variational inequalities[].Journal of Mathematical Analysis and Applications.1998
  • 6Chang S S.Some problems and results in the study of nonlinear analysis[].Nonlinear Analysis.1997
  • 7Chang S S,Cho Y J,Lee B S,etc.Generalized variational inclusions in Banach spaces[].Journal of Mathematical Analysis and Applications.2000
  • 8Moor M Aslam.Generalized set - variational inclusions and resolvent equations[].Journal of Mathematical Analysis and Applications.1998
  • 9Noor M Aslam.Equivalence of variational inclusions with resolvent equations[].Nonlinear Analysis.2000
  • 10Ding X P.Perturbed proximal point algorithms for generalized quasi - variational inclusions[].Journal of Mathematical Analysis and Applications.1997

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应用泛函分析学报
2003年 第4期

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