Perturbation Analysis of the Algebraic Metric Generalized Inverse in Lp(,)

被引：2

作者：

Cao, Jianbing ^{[1
,2
]}

Xue, Yifeng ^{[3
,4
]}

机构：

[1] Henan Inst Sci & Technol, Dept Math, Xinxiang, Henan, Peoples R China

[2] Henan Normal Univ, Postdoctoral Res Stn Phys, Xinxiang, Henan, Peoples R China

[3] East China Normal Univ, Dept Math, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

[4] East China Normal Univ, Res Ctr Operator Algebras, Shanghai 200241, Peoples R China

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2017年 / 38卷 / 12期

基金：

中国博士后科学基金;

关键词：

Best approximate solution; gap function; metric generalized inverse; stable perturbation; Primary; 47A05; Secondary; 46B20; LINEAR-OPERATORS; BANACH-SPACES;

D O I：

10.1080/01630563.2017.1379025

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let X = LP cx)) and T, ST : X X be bounded i near operators. Put T = T 6T. In this paper, using the notion of quasi-additivity and the concept of stable perturbation, we will give some estimates of the upper bound of II TM - TM in terms of the gap function. As an application of main results, we also nvestigate the best approximate solution problem of ill -posed operator equation.

引用

页码：1624 / 1643

页数：20

共 22 条

[1]

Barbu V., 1978, CONVEXITY OPTIMIZATI

[2]

Beauzamy B., 1982, N HOLLAND MATH STUDI

[3]

Cao J., 2017, ANN FUNCT ANAL

[4] Perturbation of the Moore-Penrose Metric Generalized Inverse in Reflexive Strictly Convex Banach Spaces [J].

Cao, Jian Bing ;

Zhang, Wan Qin .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 32 (06) :725-735

[5]

Cao JB, 2014, ACTA MATH UNIV COMEN, V83, P181

[6] Perturbation analysis for the operator equation Tx=b in Banach spaces [J].

Chen, GL ;

Xue, YF .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 212 (01) :107-125

[7]

DIESTEL J, 1975, LECT NOTES MATH

[8] PERTURBATION ANALYSIS FOR THE MOORE-PENROSE METRIC GENERALIZED INVERSE OF CLOSED LINEAR OPERATORS IN BANACH SPACES [J].

Du, Fapeng ;

Chen, Jianlong .

ANNALS OF FUNCTIONAL ANALYSIS, 2016, 7 (02) :240-253

[9] PERTURBATION ANALYSIS FOR THE MOORE-PENROSE METRIC GENERALIZED INVERSE OF BOUNDED LINEAR OPERATORS [J].

Du, Fapeng .

BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2015, 9 (04) :100-114

[10]

Kato T, 1984, PERTURBATION THEORY

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