Perturbation Analysis of the Algebraic Metric Generalized Inverse in Lp(Ω, μ). (2nd December 2017)

• Record Type: Journal Article
• Authors: Cao, Jianbing; Xue, Yifeng
• Is Part Of: Numerical functional analysis and optimization. Volume 38:Number 12(2017)
• Page Start: 1624
• Page End: 1643
• Publication Date: 2017-12-02
• Subjects: Best approximate solution -- gap function -- metric generalized inverse -- stable perturbation; Primary 47A05 -- Secondary 46B20; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2017.1379025
• Languages: English
• ISSNs: 0163-0563

Abstract

ABSTRACT: Let X = L p (Ω, μ ) (1< p <∞) and T, δT : X → X be bounded linear operators. Put . 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 in terms of the gap function. As an application of main results, we also investigate the best approximate solution problem of ill-posed operator equation.