在q -一致光滑的Banach空间关于严格伪压缩映射\quad 的粘滞逼近法

数学物理学报 ›› 2011, Vol. 31 ›› Issue (4): 998-1007.

在q -一致光滑的Banach空间关于严格伪压缩映射\quad 的粘滞逼近法

刘英

河北大学数学与计算机学院河北保定 |071002

收稿日期:2009-06-19 修回日期:2010-11-01 出版日期:2011-08-25 发布日期:2011-08-25
基金资助:
河北省教育厅自然科学青年基金(2010110)和河北省自然科学青年基金(A2010000191, A2011201053)资助

Viscosity Approximation Methods for Strict Pseudo-contractions in q-uniformly Smooth Banach Spaces

LIU Ying

College of Mathematics and Computer, Hebei University, Hebei Baoding |071002

Received:2009-06-19 Revised:2010-11-01 Online:2011-08-25 Published:2011-08-25
Supported by:
河北省教育厅自然科学青年基金(2010110)和河北省自然科学青年基金(A2010000191, A2011201053)资助

摘要/Abstract

摘要：

该文在q -一致光滑的Banach空间根据粘滞逼近法建立了一迭代序列来逼近一族严格伪压缩映射的公共不动点,这一公共不动点还是某一变分不等式的解,其结论推广了近期一些相关结果.

关键词: 不动点, q -一致光滑, 严格伪压缩, 粘滞逼近, 变分不等式

Abstract:

In this paper, we introduce an iterative scheme by the viscosity approximation method for finding a common fixed point of a finite family of strictly pseudo-contractive mappings, which solves some variational inequality in a real q-uniformly smooth Banach space. Our results improve and extend the corresponding results announced by many others.

Key words: Fixed point, q-uniformly smooth, Strict pseudo-contraction, Viscosity approximation, Variational inequality

中图分类号:

47H09

刘英. 在q -一致光滑的Banach空间关于严格伪压缩映射\quad 的粘滞逼近法[J]. 数学物理学报, 2011, 31(4): 998-1007.

LIU Ying. Viscosity Approximation Methods for Strict Pseudo-contractions in q-uniformly Smooth Banach Spaces[J]. Acta mathematica scientia,Series A, 2011, 31(4): 998-1007.

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