Let 
be a nonempty subset and 
be the Banach lattice of all bounded real functions on 
, equipped with 
. Let 
be a linear sublattice of and 
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 
. Some relevant examples are also given.
The iterates of positive linear operators with the set of constant functions as the fixed point set
Cătinaș, Teodora, Otrocol, Diana and Rus, Ioan A.
Abstract
carpathian_2016_32_2_165_172_abstractFull PDF
carpathian_2016_32_2_165_172Additional Information
| Author(s) | Cătinaș, Teodora, Otrocol, Diana, Rus, Ioan A. |
|---|
Recently posted
-
Stability of new functional equations and partial multipliers in Banach *-algebras
-
Characterizations of amenable gyrogroups related to Tarski's Theorem
-
Two new extragradient methods for solving pseudomonotone the equilibrium problem in Hilbert spaces
-
On the error estimates for the sequence of successive approximations for cyclic \varphi–contractions in metric spaces
-
Hybrid CG-Like Algorithm for Nonlinear Equations and Image Restoration
-
New class of n-order fractional differential equations and solvability in the double sequence space m^2(\Delta_{v}^{u}, \phi,p)
-
Constructing DNA Codes using Double Cyclic Codes of Odd and Even Lengths over F2 + u F2
-
Consequences of the product rule in Stieltjes differentiability
-
On the existence and uniqueness of fixed points in Banach spaces using the Krasnoselskij iterative method
-
A quaternionic product of simple ratios