## Iterates of multidimensional approximation operators via Perov theorem

AbstractThe starting point is an approximation process consisting of linear and positive operators. The purpose of this note is to…

AbstractThe starting point is an approximation process consisting of linear and positive operators. The purpose of this note is to…

AbstractIn this paper, we use a new technique for the treatment of systems based on the advantage of vector-valued norms…

Abstract The high speed of \(x_{k}\rightarrow x^\ast\in{\mathbb R}\) is usually measured using the C-, Q- or R-orders: \begin{equation}\tag{$C$} \lim \frac…

AbstractFollowing the idea of T. Wongyat and W. Sintunavarat, we obtain some existence and uniqueness results for the solution of…

AbstractIn this paper we will present data dependence results for Mann iteration schene related to the fixed point inclusion. The…

AbstractWe present the relationship between the notion of partial metric, which has applications in Computer Science, that of quasimetric (which…

AbstractWe prove a “collage” theorem for hemicontractive maps and we use it for inverse problems. A numerical example is given.…

AbstractWe show that the convergence of Mann, Ishikawa iterations are equivalent to the convergence of a multistep iteration, for various…

Abstract We prove the equivalence between the -stabilities of the Krasnoselskij and the Mann iterations; a consequence is the equivalence…

Abstract We prove a convergence result and a data dependence for Ishikawa iteration when applied to contraction-like operators. An example…