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变分不等式问题的新发展 被引量:5

New advances in methods for variational inequality
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摘要 在简要地介绍变分不等式的基本理论和算法的基础上 ,归纳出当前求解变分不等式的 4类主要数值方法 :投影收缩算法 ;基于间隙函数的鞍点算法 ;基于K K The basic theory a nd algorithms of variational inequality are introduced, and various methods have been developed for the resolution of VIP. They are the projection and contracti on method, the saddle point algorithms based on the gap function, the simple con strained optimization method on K-K-T equations and the stategy majoring in th e equivaient normal equation instead of the iniyial variational inequality.
出处 《西安电子科技大学学报》 EI CAS CSCD 北大核心 2000年第5期648-652,共5页 Journal of Xidian University
基金 陕西省教委自然科学专项基金资助项目!(99JK0 96)
关键词 变分不等式 投影收缩 鞍点算法 间隙函数 variational inequality p rojection and contraction method normal equation
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  • 1He B,Appl Math Opti,1992年,25卷,247页
  • 2He B,Numer Math,1992年,61卷,73页
  • 3孙德锋,1992年
  • 4He B,Shu Xue Banian Kan,1989年,6卷,4页
  • 5Pang J S,Math Prog,1982年,24卷,284页
  • 6何炳生,Mathematical Programming,1994年,66卷,137页
  • 7何炳生,Numerische Mathematik,1994年,68卷,71页
  • 8孙德锋,计算数学,1994年,16卷,183页
  • 9何炳生,Applied Mathematics and Optimization,1992年,25卷,247页
  • 10Pang J S,Mathematical Programming,1986年,36卷,54页

共引文献33

同被引文献24

  • 1Noor M A. Three-step Iterative Algorithms for Multivalued Quasi Variational Inclusions[J]. J Math Anal Appl, 2001, 255(2): 589-604.
  • 2Chang S S, Cho Y J, Lee B S, et eLI. Generalized Set-valued Variational Inclusions in Banaeh Spaces[J]. J Math Anal Appl, 2000,246(2) : 409-422.
  • 3Noor M A, Noor K I, Rassias T M. Set-valued Resolvent Equations and Mixed Variational Inequalities[J]. J Math Anal Appl, 1998,220(2) : 741-759.
  • 4Naddler S B. Multivalued Contraction Mappings[J]. Palific J Math, 1969. 30(3) : 475-488.
  • 5Huang N J. A General Class of Nonlinear Variational Inclusions for Fuzzy Mappings[ J]. Indian J Pure Appl Math, 1998, 29(9): 957-964.
  • 6Chang S S. Some Problems and Results in the Study of Nonlinear Analysis[J]. Nonlinear Anal, 1997, 30(7): 4197-4208.
  • 7Ding X P. Perturbed Proximal Point Algorithms for Generalized Qussivariational Inclusions[ J]. J Math Anal Appl, 1997, 210( 1 ) : 88-101.
  • 8Huang N J. A New Completely General Class of Variational Inclusions with Noncompact Valued Mappings[J]. Computers Math Appl,1998, 35(10): 1-7.
  • 9Velin J, de Thelin F. Existence and Nonexistence of Nontrivial Positive Solutions for Elliptic Systems[J]. Rev Mat Univ, 1993, 6(1 ) :153-194.
  • 10Pohozaev S I. Eigenfunctions of the Equations △u + λf(u) = 0 [J]. Soviet Math Doklady Tome, 1965, 165(1): 1 408-1 411.

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