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The iterates of positive linear operators with the set of constant functions as the fixed point set.
- Source :
-
Carpathian Journal of Mathematics . 5/15/2016, Vol. 32 Issue 2, p165-172. 8p. - Publication Year :
- 2016
-
Abstract
- Let Ω ⊂ ℝp, p ∈ ℕ* be a nonempty subset and B(Ω) be the Banach lattice of all bounded real functions on Ω, equipped with sup norm. Let X ⊂ B(Ω) be a linear sublattice of B(Ω) 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15842851
- Volume :
- 32
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Carpathian Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 115545143