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投影算法的广义收敛性分析及在变分不等式中的应用 被引量：1

A Study of the General Convergence of the Projection Methods and Its Application to Variational Problems
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摘要 介绍了一类广义投影算法,将该算法运用于求解Hilbert空间中一类新的广义非线性变分不等式组的逼近解.结论推广和改善了文献中的诸多结论. A general model for projection methods is introduced for the approximation solvability of a new system of nonlinear variational inequality problems in a Hilbert space setting, which improves some known result of the related literature.
作者 梁远洪
机构地区 重庆师范大学数学与计算机科学学院
出处 《云南民族大学学报（自然科学版）》 CAS 2009年第1期20-23,共4页 Journal of Yunnan Minzu University:Natural Sciences Edition
关键词 投影算法 非线性变分不等式组 强单调 LIPSCHITZ连续 收敛 projection methods system of nonlinear variational inequality strong monotone Lipschitz contin-uous convergence
分类号 O221.2 [理学—运筹学与控制论]
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参考文献7

  • 1VERMA R U. Projection Methods, Algorithms and a New System of Nonlinear Variational Inequalities [ J ]. compu & Math with Appl. 2001.41,1025 - 1031.
  • 2NIE H, LIU Z, KIM K H, et al. A System of Nonlinear Variational Inequalities Involving Strongly Monotone and Paeudocontractive Mappings[J]. Adv Nonlinear var Inequal, 2003,6(2) :91 -99.
  • 3VERMA R U. General Convergence Analysis for Two - step Projection Methods and Application to Variational Problems [ J ]. Appl Math Letters, 2005 (5) : 1 - 7.
  • 4CHANG S S. The Theorem and Application of Variational Inequalities and Complementarity Problems[ M]. Shanghai: Shanghai Sci Tec Liter Publishing House, 1991.
  • 5LIU L S. Ishikawa and Mann Iterative Process with Error for Nonlinear Strongly Accretive Mappings in Banach Spaces [ J ]. J Math Anal Appl, 1995:114- 125.
  • 6MARCOTYE P, WU J H. On the Convergence of Projection Methods[J]. Optim Theory Appl, 1995,85:347 -362.
  • 7VERMA R U. A Class of Quasivariational Inequalities Involving Cocoercive Mappings[J]. Adv Nordiner Var Inequal, 1999,2 (2) :1 - 12.

同被引文献12

  • 1赵晖,高自友.变分不等式的混沌搜索算法[J].北京交通大学学报,2006,30(6):85-88. 被引量：2
  • 2黄汝激.超网络的有向k超树分析法[J].电子科学学刊,1987,9(3):244-255.
  • 3AV|EZRI S F, EDWARD R S. A deletions game on hypergraph[J]. Discrete Applied Mathematics, 1991, 30(2) : 155-162.
  • 4ENDRE B. On shift stable hypergraphs[J]. Discrete Mathematics, 1991, 87(1): 81-84.
  • 5HAMMOND D, BEULLENS P. Closed-loop supply chain network equilibrium under legislation[ J ]. European Journal of Operational Research, 2007, 183(2) : 895-908.
  • 6NAGURNEY A, DONG J, ZHANG D. A supply chain network equilibrium model [ J ]. Transportation Research Part E: Logistics and Transportation Review, 2002, 38(5) : 281-303.
  • 7NAGURNEY A, MATSYPUR D A. Global supply chain network dynamics with multicriteria decision making under risk and uncertainty[ J]. Transportation Research Part E: Logistics and Transportation Review, 2005, 41(5) : 585-612.
  • 8WANG Zhiping, ZHANG Fumei, WANG Zhongtuo. Research of return supply chain supemetwork model based on variational inequalities[ C]///Proceedings of the IEEE International Conference on Automation and Logistics. Piscataway: Inst. of Elec. and Elec. Eng. Computer Society, 2007: 25-30.
  • 9孙敏.求解结构型单调变分不等式的投影类交替方向法[J].安徽大学学报（自然科学版）,2009,33(2):12-14. 被引量：2
  • 10郝忠孝,郭景峰.一种基于超图的最小覆盖集求法[J].计算机研究与发展,1990,27(10):58-64. 被引量：5

引证文献1

二级引证文献4

云南民族大学学报（自然科学版）
2009年 第1期

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