On a new system of nonlinear A-monotone multivalued variational inclusions

被引：70
|
作者：
Lan, Heng-You
Kim, Jin Ho
Cho, Yeol Je [1 ]
机构：
[1] Gyeongsang Natl Univ, Coll Educ, Dept Math Educ, Chinju 660701, South Korea
[2] Gyeongsang Natl Univ, Coll Educ, RINS, Chinju 660701, South Korea
[3] Sichuan Univ Sci & Engn, Dept Math, Zigong 643000, Sichuan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 327卷 / 01期
关键词：
A-monotone mapping; resolvent operator technique; nonlinear multivalued variational inclusion system; existence; convergence;
D O I：
10.1016/j.jmaa.2005.11.067
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce and study a new system of nonlinear A-monotone multivalued variational inclusions in Hilbert spaces. By using the concept and properties of A-monotone mappings, and the resolvent operator technique associated with A-monotone mappings due to Verma, we construct a new iterative algorithm for solving this system of nonlinear multivalued variational inclusions associated with A-monotone mappings in Hilbert spaces. We also prove the existence of solutions for the nonlinear multivalued variational inclusions and the convergence of iterative sequences generated by the algorithm. Our results improve and generalize many known corresponding results. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：481 / 493
页数：13
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