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A class of continua that are not attractors of any IFS

100%

Kulczycki M., Nowak M.

Open Mathematics

2012

tom 10

nr 6

2073-2076

This paper presents a sufficient condition for a continuum in ℝn to be embeddable in ℝn in such a way that its image is not an attractor of any iterated function system. An example of a continuum in ℝ2 that is not an attractor of any weak iterated function system is also given.

Fractals of generalized F− Hutchinson operator

88%

Nazir T., Silvestrov S., Abbas M.

Waves, Wavelets and Fractals

2016

tom 2

nr 1

The aim of this paper is to construct a fractal with the help of a finite family of F− contraction mappings, a class of mappings more general than contraction mappings, defined on a complete metric space. Consequently, we obtain a variety of results for iterated function systems satisfying a different set of contractive conditions. Some examples are presented to support the results proved herein. Our results unify, generalize and extend various results in the existing literature.

Ograniczanie wyników

1 Open Mathematics

1 Waves, Wavelets and Fractals

1 Abbas M.

1 Kulczycki M.

1 Nazir T.

1 Nowak M.

1 Silvestrov S.

1 2016

1 2012

Wyniki wyszukiwania

A class of continua that are not attractors of any IFS

Fractals of generalized F− Hutchinson operator