Abstract
Let Omega subset of R-p, p is an element of N* be a nonempty subset and B(Omega) be the Banach lattice of all bounded real functions on Omega, equipped with sup norm.
Let X subset of B(Omega) be a linear sublattice of B(Omega) and A: X -> X be a positive linear operator with constant functions as the fixed point set.
In this paper, using the weakly Picard operators techniques, we study the iterates of the operator A.
Some relevant examples are also given.
Authors
T. Catinas
(Babes Bolyai Univ.)
D. Otrocol
(Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy)
I.A. Rus
(Babes Bolyai Univ.)
Keywords
Cite this paper as:
T. Catinas, D. Otrocol, I.A. Rus, The iterates of positive linear operators with the set of constant functions as the fixed point set, Carpathian J. Math., Vol. 32(2016) no. 2, pp. 165-172.
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About this paper
Journal
Carpathian Journal of Mathematics
Publisher Name
North Univ. Baia Mare, Romania
DOI
Print ISSN
1584-2851
Online ISSN
1843-4401
MR
MR3587884
ZBL
Google Scholar
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