SOME REMARKS ON THE BARRIER LEMMA AND K-MONOTONICITY

Authors
MAREK I
Citation
I. Marek, SOME REMARKS ON THE BARRIER LEMMA AND K-MONOTONICITY, Numerical linear algebra with applications, 2(5), 1995, pp. 431-445
Citations number
11
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Numerical linear algebra with applications → ACNP
ISSN journal
10705325
Volume
2
Issue
5
Year of publication
1995
Pages
431 - 445
Database
ISI
SICI code
1070-5325(1995)2:5<431:SROTBL>2.0.ZU;2-N
Abstract
An abstract version of the well known Barrier Lemma is presented and s ome of its generalizations are shown for bounded linear and some unbou nded densely defined linear monotone operators in some partially order ed Banach spaces. K-monotonicity of generally unbounded operators is c haracterized. Some applications of constructing error bounds for appro ximately solving equations governed by bounded linear operators are es tablished.