解实q一致光滑Banach空间中的带有P-η-增生算子的变分包含问题

J4 ›› 2010, Vol. 45 ›› Issue (3): 96-101.

解实q一致光滑Banach空间中的带有P-η-增生算子的变分包含问题

毕亮亮范丽亚

聊城大学数学科学学院, 山东聊城 252059

收稿日期:2008-06-23 出版日期:2010-03-16 发布日期:2010-04-02

Solving a variational inclusion with P-η-accretive operators in real q-uniformly smooth Banach spaces

BI Liang-Liang, Fan-Li-Ya

School of Mathematics Science, Liaocheng University, Liaocheng 252059, Shandong, China

Received:2008-06-23 Online:2010-03-16 Published:2010-04-02
About author: BI Liang-liang(1983-), female, graduate student,major in the research of the optimization theory and its applications. Email: biliang8325@126.com
Supported by:
Supported by the National Natural Science Foundation of China (10871226) and Natural Science Foundation of Shandong Province(ZR2009AL006)

摘要/Abstract

摘要：

介绍了q一致光滑Banach空间中一类带有P-η-增生算子的变分包含问题。利用P-η-增生算子的预解算子, 提出了一个求解这类变分包含问题的迭代算法, 并分析了算法的强收敛性。

关键词: P-η-增生算子;预解算子;变分包含;迭代算法;实q-致光滑Banach空间

Abstract:

A kind of variational inclusions with P-η-accretive operators is introduced in the setting of real q-uniformly smooth Banach spaces. An iterative method for solving this kind of variational inclusion is presented and analyzed by means of the resolvent operators of P-η-accretive operators.

Key words: P-η-accretive operator; resolvent operator; variational inclusion; iterative algorithm; real q-uniformly smooth Banach space

毕亮亮范丽亚. 解实q一致光滑Banach空间中的带有P-η-增生算子的变分包含问题[J]. J4, 2010, 45(3): 96-101.

BI Liang-Liang, Fan-Li-Ya. Solving a variational inclusion with P-η-accretive operators in real q-uniformly smooth Banach spaces[J]. J4, 2010, 45(3): 96-101.

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