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
[11]  
Ding X. P.(2010)-monotone operators in Banach spaces Applied Mathematics and Mechanics (English Edition) 31 1049-1062
[12]  
Ding X. P.(2011)( Applied Mathematics Letters 24 308-313
[13]  
Wang Z. B.(2011)(·, ·), Applied Mathematics and Mechanics (English Edition) 32 231-240
[14]  
Wang Z. B.(2011))-accretive operators with an application for solving setvalued variational inclusions in Banach Spaces Applied Mathematics and Computation 218 3507-3514
[15]  
Ding X. P.(2011)Sensitivity analysis for a system of generalized mixed implicit equilibrium problems in uniformly smooth Banach spaces Journal of Sichuan Normal University (Natural Science) 34 1-9
[16]  
Ding X. P.(2011)Auxiliary principle and algorithm for a system of generalized setvalued mixed variational-like inequality problems in Banach spaces Taiwanese Journal of Mathematics 15 673-694
[17]  
Ding X. P.(2011)Existence and algorithm of solutions for a system of generalized mixed implicit equilibrium problems in Banach spaces Fixed Point Theory and Applications 31 31-313
[18]  
Wang Z. B.(2011)Existence and stability of iterative algorithms for the system of nonlinear quasi mixed equilibrium problems Applied Mathematics Letters 24 308-4961
[19]  
Ding X. P.(2012)Auxiliary principle and approximation solvability for system of new generalized mixed equilibrium problems in reflexive Banach spaces Applied Mathematics and Computation 218 4953-809
[20]  
Suantai S.(2012)Auxiliary principle and iterative algorithm for a new system of generalized mixed equilibrium problems in Banach spaces Journal of Optimization Theory and Applications 155 796-148
12345