2005

The Mann and Ishikawa iterations and the Mann-Ishikawa with errors are equivalent models dealing with a non-Lipschitzian map

12 months ago

Abstract The Mann-Ishikawa iterations and the Mann-Ishikawa iterations with errors are equivalent models for several classes of non-Lipschitzian operators. AuthorsB.…

The equivalence of Picard, Mann and Ishikawa iterations dealing with quasi-contractive operators

12 months ago

Abstract We show that the Ishikawa iteration, the corresponding Mann iteration and the Picard iteration are equivalent when applied to…

The convergence of mean value iteration for a family of maps

12 months ago

Abstract We consider a mean value iteration for a family of functions, which corresponds to the Mann iteration with \(\lim_{n\rightarrow…

Persistence of planetary rings under the influence of the anisotropically re-emitted solar radiation

2 years ago

Abstract The solar radiation has a destabilizing influence on planetary rings. The shepherding satellites explain the persistence of these structures,…

Symmetric periodic orbits in the anisotropic Schwarzschild-type problem

2 years ago

Abstract Studying the two-body problem associated to an anisotropic Schwarzschild-type field, Mioc et al. (2003) did not succeed in proving…

A solvable version of the inverse problem of dynamics

2 years ago

Abstract The particular version of the inverse problem of dynamics considered here is: given the ‘slope function’ \(\gamma =f_{y}/f_{x}\), representing…

Families of orbits in planar anisotropic fields

2 years ago

Abstract The aim of the planar inverse problem of dynamics is: given a monoparametric family of curves \(f(x,y)=c\), find the…

On the extension of semi-Lipschitz functions on asymmetric normed spaces

3 years ago

Abstract Extension theorems for semi-Lipschitz functions and some proper- ties of these extensions useful in approximation problems are presented. As…

Rate of convergence of a class of Bézier type operators for functions of bounded variation

3 years ago

Abstract By using probability methods we introduce a general a class of Bezier type linear operators. The aim of the…

On the rate of convergence of some integral operators for functions of bounded variation

3 years ago

Abstract In the present paper we define a general class \(B_{n,\alpha},\alpha\) \(\geq1\), of Durrmeyer-Bezier type of linear positive operators. Our…

2005

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