Sentence examples for mappings and this from inspiring English sources

Mann iterates were not adequate for the approximation of fixed points of pseudocontractive mappings and this led to the introduction of Ishikawa iterates [3].

In the course of the last century, this theorem has been generalized and improved by numerous researchers chiefly by replacing contraction mappings with a relatively more general contractive mappings and this practice is still going on.

The stability of a fixed point iterative procedure was first studied by Ostrowski [17] in the case of Banach contraction mappings, and this subject was later developed for certain contractive definitions by several authors.

In this paper, we introduce the concept of T f -orbitally lower semi-continuous mappings and, using this concept, prove Mizoguchi-Takahashi's type coincidence point theorems.

It is worth pointing out that many theorems in some corresponding published papers cannot be applied to this example since Theorem 3.1 does not require any condition on the containment of the ranges of involved mappings, and in this example we also do not require such containment.

This class of mappings properly contains the class of nonspreading mappings and the class of hybrid mappings; see [10] for more details.

This module looks for DNS records for fallback host-to-realm mappings and the default realm.

Conformal mappings and the Poincare model of non-Euclidean geometry.

We propose a new class of nonlinear mappings, called ( a, b ) -monotone mappings, and show that this class of nonlinear mappings contains nonspreading mappings, hybrid mappings, firmly nonexpansive mappings, and ( a 1, a 2, a 3, k 1, k 2 ) -generalized hybrid mappings with a 1 < 1.

The results complemented those coming from the mappings and largely confirmed, through this kind of data triangulation, the analyses of social justice, and particularly of the intense desire for social peace [ 16, 21].

This paper also discusses important issues of model transformation, such as semantics mapping, data type mappings and transformation rules.