Set-valued variational inclusions with T-accretive operators in Banach spaces

被引:25
作者
Peng, JW [1 ]
机构
[1] Chongqing Normal Univ, Coll Math & Comp Sci, Chongqing 400047, Peoples R China
基金
中国国家自然科学基金;
关键词
T-accretive operator; variational inclusion; iterative algorithm; convergence; strong accretivity; Banach space;
D O I
10.1016/j.aml.2005.04.009
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, a new class of set-valued variational inclusions involving T-accretive operators in Banach spaces is introduced and studied. And a new iterative algorithm for this class of set-valued variational inclusions and its convergence result are established. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码:273 / 282
页数:10
相关论文
共 13 条
[1]   Generalized nonlinear mixed implicit quasi-variational inclusions with set-valued mappings [J].
Agarwal, RP ;
Huang, NJ ;
Cho, YJ .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2002, 7 (06) :807-828
[2]   Sensitivity analysis for strongly nonlinear quasi-variational inclusions [J].
Agarwal, RP ;
Cho, YJ ;
Huang, NJ .
APPLIED MATHEMATICS LETTERS, 2000, 13 (06) :19-24
[3]   Set-valued variational inclusions in Banach spaces [J].
Chang, SS .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 248 (02) :438-454
[4]   On the existence and iterative approximation problems of solutions for set-valued variational inclusions in Banach spaces [J].
Chang, SS ;
Kim, JK ;
Kim, KH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 268 (01) :89-108
[5]   Generalized set-valued variational inclusions in Banach spaces [J].
Chang, SS ;
Cho, YJ ;
Lee, BS ;
Jung, IH .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 246 (02) :409-422
[6]   H-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces [J].
Fang, YP ;
Huang, NJ .
APPLIED MATHEMATICS LETTERS, 2004, 17 (06) :647-653
[7]   A new completely general class of variational inclusions with noncompact valued mappings [J].
Huang, NJ .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1998, 35 (10) :9-14
[8]   MULTI-VALUED CONTRACTION MAPPINGS [J].
NADLER, SB .
PACIFIC JOURNAL OF MATHEMATICS, 1969, 30 (02) :475-&
[9]   Generalized set-valued variational inclusions and resolvent equations [J].
Noor, MA .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 228 (01) :206-220
[10]   Set-valued resolvent equations and mixed variational inequalities [J].
Noor, MA ;
Noor, KI ;
Rassias, TM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 220 (02) :741-759