期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

一般混合变分不等式的改进隐式迭代算法 被引量：1

Modified Implicit Iterative Methods for General Mixed Variational Inequalities
下载PDF
导出
摘要 给出了一种新的求解一般混合变分不等式的改进隐式迭代算法,在算子T是g-伪单调连续的条件下,即可证明新提出的算法的收敛性. This paper proposes an innovative modified implicit iterative algorithm for solving general mixed variational inequalities based on resolvent technology. The convergence of the implicit iterative algorithm if operator T is g-pseudomonotone and continuous.
作者 万波
机构地区 西南大学数学与统计学院
出处 《重庆工学院学报》 2007年第3期42-44,共3页 Journal of Chongqing Institute of Technology
关键词 变分不等式 迭代算法 收敛 variational inequalities iterative algorithm convergence
分类号 O177 [理学—基础数学]
  • 相关文献

参考文献11

  • 1Noor M A. Mixed quasi variational inequalities[J]. Applied Mathematics and Computation.2003,146:553-578.
  • 2Noor M A. Modified Besolvent Algorithm for General Mixed Quasi Variational Inequalities [J]. Mathematical and Computer Modelling,2002,36:737-745.
  • 3Ding X P. Existence of Solutions and an Algorithm for Mixed Variational-Like Inequalities in Banach Spaces[J]. Journal of Optimization Theory and Applications, 2005,127 (2) :285 - 302.
  • 4Noor M A. Resolvent Algorithms for Mixed Quasivariational Inequalities[J]. Journal of Optimization Theory and Applications,2003,119(1) : 137 - 149.
  • 5Noor M A. Iterative Methods for General Mixed Quasivariational Inequalities[J]. Journal of Optimization Theory and Applications,2003,119(1) : 123 - 136.
  • 6Noor M A. On General Mixed Quasivariational Inequalities[J]. Journal of Optimization Theoryand Applications, 2004,120(3) :579 - 599.
  • 7He B S, Liao L Z. Improvements of Some Projection Metheds for Monotone Nonlinear Variational Inequalities [J]. Journal of Optimization Theory and Applications. 2002, 112 (1):111- 128.
  • 8Noor M A, Bnouhachem Abdellah. Modified proximal-point method for nonlinear complementarity problems [J]. Journal of Computational and Applied Mathematics, 2006,197:395 - 405.
  • 9Mouda A, Oliny M. Convergence of a splitting inertial proximal method for monotone operators [J]. Journal of Computational and Applied Mathematics,2003,155:447-454.
  • 10Noor M A. Proximal Methods for Mixed Quasivariational Inequalities[J]. Journal of Optimization Theory and Applications, 2002,115(2) :453 - 459.

同被引文献11

  • 1焦合华.关于不动点变分不等式与最优化的一个定理[J].重庆工学院学报,2006,20(5):133-135. 被引量：1
  • 2Yang X M,Yang X Q,Teo K L. Generalized invexity and generalized invariant monotonicity[J]. Journal of Optimiza- tion Theory and Applications, 2003,117 (3): 607-625.
  • 3Jabarootian T, Zafarani J. Generalized invariant monotonici- ty and invexity of nondifferentiable functions[J]. Journal of Global Optimization, 2006,36 (4) : 537 564.
  • 4Youness E A. E-convex sets, E convex functions, and E- convex programming[J]. Journal of Optimization Theory and Application, 1999,102(2) :439-450.
  • 5Yang X M. E-convex set, E-convex function, and E-convex programming[J]. Journal of Optimization Theory and Ap- plications, 2001,109(3) :699-704.
  • 6Syaua Y R. Some properties of E-convex functions[J]. Ap- plied Mathematics Letters, 2005,18 (9) : 1074-1080.
  • 7Luo J. Some properties of E-Pseudo-convex functions and the applications in mathematical programming[J]. Journal of Chongqing Technology and Business University, 2008, 25(5) :449-453.
  • 8Avriel M, Diewert W. Generalized goncavity[M]. New York Plenum Publishing Corporation, 1988.
  • 9Ruiz-Garzon G, Osuna-Gomez R,Ruflan-Lizana A. General ized invex monotonicity[J]. European Journal of Operation- al Research, 2003,144 (3) : 501-512.
  • 10Fan K. A generalization of Tyehono's fixed point theorem [J]. Mathematical Annalen,1961(142) :391-402.

引证文献1

二级引证文献1

重庆工学院学报
2007年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部