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Banach空间中分离变分不等式的Levitin-Polyak-α适定性

夏福全 黎小波

四川师范大学学报(自然科学版)2012,Vol.35Issue(3):430-434,5.
四川师范大学学报(自然科学版)2012,Vol.35Issue(3):430-434,5.DOI:10.3969/j.issn.1001-8395.2012.03.030

Banach空间中分离变分不等式的Levitin-Polyak-α适定性

Levitin-Polyak a-well-posedness of Split Variational Inequality in Banach Space

夏福全 1黎小波1

作者信息

  • 1. 四川师范大学数学与软件科学学院,四川成都610066
  • 折叠

摘要

Abstract

In this paper,we generalize the concept of Levitin-Polyak α-well-posedness to a split variational inequality in Banach space.We study the equivalent statements of the solution set of split variational inequality.We also give some characterizations of Levitin-Polyak α-well-posedness for a split variational inequality.

关键词

分离变分不等式/Levitin-Polyak-α适定性/度量性质

Key words

split variational inequality/Levitin-Polyak α-well-posedness/metric characterization

分类

数理科学

引用本文复制引用

夏福全,黎小波..Banach空间中分离变分不等式的Levitin-Polyak-α适定性[J].四川师范大学学报(自然科学版),2012,35(3):430-434,5.

基金项目

This work was supported by the NSF of Sichuan Education Department of China (09ZA091),the Ph.D.Programs Foundation of Ministry of Education of China (20105134120002),the Key Science and Technology Projects of Ministry of Education of China (212147),and Applied Research Project of Sichuan Province (2010JY0121) (09ZA091)

四川教育厅自然科学重点基金(09ZA091),教育部博士点基金(20105134120002),教育部重点项目(212147)和四川省科技厅应用基础项目(2010JY0121)资助项目 (09ZA091)

四川师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1001-8395

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