Banach空间中一类含H-增生算子的新型广义非线性混合似变分包含组

被引:5
作者
张旭 [1 ]
叶志强 [2 ]
机构
[1] 重庆师范大学初等教育学院
[2] 西南大学数学与统计学院
关键词
广义非线性混合似变分包含组; H-增生算子; 预解算子; 算法; Banach空间;
D O I
暂无
中图分类号
O177.2 [巴拿赫空间及其线性算子理论];
学科分类号
摘要
引入并研究了一类含H-增生算子的广义线性混合似变分包含组。应用关于H-增生算子的预解算子技巧和不动点理论,这类变分包含组解的存在性得到了证明。本文同时提出了一种新的迭代算法来计算这类变分组的近似解,并研究了这类算法的收敛性。本文所得结果是新的,并推广和统一了近期文献中的一些相关结论。
引用
收藏
页码:6 / 9+24 +24
页数:5
相关论文
共 13 条
[1]  
H-Monotone Operator and Resolvent Operator Techn ique for Variational Inc lusions. FANG Y P,HUANG N J. App l M athComput . 2003
[2]  
Perturbed Proxim al Point A lgorithm s for Generalized Quasi-variational-like Inc lusions. D ING X P,LUO C L. J Comput App lM ath . 2000
[3]  
H-Accretive Operators and ResolventOperator Techn ique for Solving Variational Inc lusions in BanachSpaces. FANG Y P,HUANG N J. App lied M athem atics Letters . 2004
[4]  
Projection M ethods,A lgorithm s,and a New System ofNon linearVariational Inequalities. VERMA R U. ComputM ath App l . 2001
[5]  
A lgorithm s of Solutions for Comp letely Generalized M ixed Imp lic itQuasi-variational Inc lusions. D ING X P. App lM ath Com-put . 2004
[6]  
H-monotone Operator and Resolvent Operator Techn ique for Variational Inc lusions. FANG Y P,HUANG N J. App l M athComput . 2003
[7]  
Form es B ilineaires Coerc ivites Sur Les Ensemb les Convexes. STAMPACCH IA G. Comptes Rendus de l Académie des Sciences . 1964
[8]  
Characteristic Inequalities ofUn iform ly Convex and Un iform ly Smooth Banach Spaces. XU Z B,ROACH G F. JM ath Analy-sis App lic . 1991
[9]  
Geom etry of Banach Spaces-selected Top ics,Lecture Notes inM athem atics. D IESTEL J. . 1975
[10]  
Som e Developm ents in General Variational Inequalities. NOOR M A. App lied M athem atics and Computation . 2004