期刊文献+

广义投影下F隐变分不等式的可解性 被引量:1

Solvability of F-Implicit Variational Inequality Problems with Extended Projection Operators
下载PDF
导出
摘要 在Banach空间中引进了广义(F,g)-投影算子,定义了一个新的例外簇概念,并运用例外簇研究了自反Ba-nach空间中一类F隐变分不等式的可解性问题,得到了新的解的存在性定理. In Banach spaces, by introducing a new concept of the extended (F, g)-projection operator and a new definition of exceptional family and using exceptional family under asymptotic pseudomonotonicity,this paper studies a class of F-implicit variational inequality problems in reflexive Banach spaces and derives the existence theorems of the new solutions.
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第10期134-137,共4页 Journal of Southwest University(Natural Science Edition)
基金 国家自然科学基金资助项目(60804065) 四川省教育厅重点项目(07ZA123)
关键词 F隐变分不等式 例外簇 J-g全连续场 F-implicit variational inequality exceptional family J-g completely continuous field
  • 相关文献

参考文献5

二级参考文献11

  • 1王广兰,邓磊.一般混合隐拟变分不等式解的算法[J].西南师范大学学报(自然科学版),2005,30(6):956-959. 被引量:1
  • 2Ding X P.Algorithms of Solutions for Completely Generalized Mixed Implicit Quasi-Variational Inclusions[J].Appl Math Comput,2004,148:47-66.
  • 3Ding X P.Algorithms of Solutions for Mixed Implicit Quasi-Variational Inequalities with Fuzzy Mapping[J].Comput Math Appl,1999,38:231-241.
  • 4Verma R U.On General Variational Inequalities Involving Relaxed Lipschitz and Relaxed Monotone Operators[J].J Math Appl,1997,213:387-392.
  • 5Noor M A.General Variational Inequalities[J].J Optim Theory Appl,1993,79:197 -206.
  • 6Noor M A.Modified Resolvent Algorithm for General Mixed Quasi-Variational Inequalities[J].Mathl Comput Modeling,2002,36:737-745.
  • 7Brezis H.Operateus Maximaus Monotones es Semigoups de Contractions dans les Espaces de Hilbert[M].Amsderdam:North-Holland,1973.
  • 8Jin M M.Sensitivity Analysis for General Parametric Implicit Quasi-Variational Inequalities with(A,η)-Accretive Map-ping in Banach Spaces[].Advances in Nonlinear Variational Inequalities.2007
  • 9Xu H K.Inequalities in Banach spaces with applica-tions[].Nonlinear Analysis.1991
  • 10LAN H Y,CHO YJ,VERMA R U.On Nonlinear Relaxed Cocoercive Inclusions Involving( A,η)-Accretive Mappings in Banach Spaces[].MathApplComput.2006

共引文献9

同被引文献9

引证文献1

二级引证文献2

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