A system of general nonlinear variational inclusions in Banach spaces

被引：0
作者：
Xieping Ding
机构：
[1] Sichuan Normal University,College of Mathematics and Software Science
[2] Jazan University,Department of Mathematics
来源：
Applied Mathematics and Mechanics | 2015年 / 36卷
关键词：
system of general nonlinear variational inclusions; strongly accretive mapping; relaxed accretive mapping; resolvent operator; uniformly smooth Banach space; O177.91; O224; 47J20; 47J06; 47J25; 49J40;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new system of general nonlinear variational inclusions is introduced and studied in Banach spaces. An iterative algorithm is developed and analyzed by use of the resolvent operator techniques to find the approximate solutions of the system of general nonlinear variational inclusions involving different nonlinear operators in uniformly smooth Banach spaces.
引用
收藏
页码：1663 / 1672
页数：9
相关论文
共 42 条
[1]  
Verma R.(1999)U. On a new system of nonlinear variational inequalities and associated iterative algorithms Mathematical Sciences Research Hotline 3 65-68
[2]  
Verma R.(2001)U. Iterative algorithms and a new system of nonlinear quasivariational inequalities Advances in Nonlinear Variational Inequalities 4 117-124
[3]  
Kim J. K.(2004)A new system of generalized nonlinear mixed variational inequalities in Hilbert spaces Journal of Convex Analysis 11 235-243
[4]  
Kim D. S.(2005)A new system of variational inclusions with ( Computers and Mathematics with Applications 49 365-374
[5]  
Fang Y. P.(2009), Applied Mathematics and Computation 208 547-555
[6]  
Huang N. J.(2009))-monotone operators in Hilbert spaces Journal of Computational and Applied Mathematics 225 365-373
[7]  
Thompson H. B.(2009)Algorithm for solving a new class of generalized nonlinear implicit quasi-variational inclusions in Banach spaces Applied Mathematics and Mechanics (English Edition) 30 1-12
[8]  
Ding X. P.(2010)A new system of generalized nonlinear quasi-variational-like inclusions with A-monotone operators in Banach spaces Computers and Mathematics with Applications 59 1559-1567
[9]  
Feng H. R.(2010)System of set-valued mixed quasi-variational-like inclusions involving Nonlinear Analysis: Theory, Methods and Applications 73 1264-1276
[10]  
Feng H. R.(2010)- Journal of Computational and Applied Mathematics 223 2876-2883
12345