On the boundedness of the associated sequence of Mann iteration for several operator classes with applications
Abstract We prove that the associated sequence of Mann iteration is decreasing and hence bounded provided that the operator satisfies…
2005
The Mann and Ishikawa iterations and the Mann-Ishikawa with errors are equivalent models dealing with a non-Lipschitzian map
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
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
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
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
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
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
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
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
Abstract By using probability methods we introduce a general a class of Bezier type linear operators. The aim of the…