Perturbation bounds for the metric projection of a point onto a linear manifold in reflexive strictly convex Banach spaces

Autor:	Hongwei Jiao, Jianbing Cao
Rok vydání:	2018
Předmět:	Linear manifold Pure mathematics General Mathematics Banach space Perturbation (astronomy) Metric projection Convex function Mathematics
Zdroj:	Filomat. 32:6829-6836
ISSN:	2406-0933 0354-5180
DOI:	10.2298/fil1819829c
Popis:	In this paper, by using some recent perturbation bounds for the Moore-Penrose metric generalized inverse, we present some results on the perturbation analysis for projecting a point onto a linear manifold in reflexive strictly convex Banach spaces. The main results have two parts, part one covers consistent operator equations and part two covers the general so-called ill posed operator equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::f743275779bb6b5ad35200c9382ba0d8 https://doi.org/10.2298/fil1819829c Zobrazit plný text záznamu