Let \Omega\subset\mathbb{R}^{p}, p\in\mathbb{N}^{\ast} 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 B(\Omega) be a linear sublattice of B(\Omega) and A\colon X\rightarrow 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.

Additional Information


Cătinaș, Teodora, Otrocol, Diana, Rus, Ioan A.