A system of variational inclusions with P-η-accretive operators

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:216

Article

Peng, Han Wen^1,2  Zhu, Dao Li² 

[1] Shanghai Univ Econ & Finance, Sch Econ, Shanghai 200433, Peoples R China

[2] Fudan Univ, Sch Management, Shanghai 200433, Peoples R China

关键词: P-eta-accretive operators;    system of variational inclusions;    iterative algorithm;    resolvent operator technique;    q-uniformly smooth Banach spaces;   

DOI  :  10.1016/j.cam.2007.05.003

来源: Elsevier

【 摘 要 】

In this paper, we introduce and study a system of variational inclusions with P-eta-accretive operators in real q-uniformly smooth Banach spaces. By using the resolvent operator technique associated with P-eta-accretive operators, we prove the existence and uniqueness of solutions for this system of variational inclusions and construct a Mann iterative algorithm to approximate the unique solution. The results in this paper extend and improve some known results in the literature. (C) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free