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.
@article{bwmeta1.element.doi-10_1515_wwfaa-2016-0004,
author = {Talat Nazir and Sergei Silvestrov and Mujahid Abbas},
title = {Fractals of generalized F- Hutchinson operator},
journal = {Waves, Wavelets and Fractals},
volume = {2},
year = {2016},
zbl = {1361.54027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2016-0004}
}
Talat Nazir; Sergei Silvestrov; Mujahid Abbas. Fractals of generalized F− Hutchinson operator. Waves, Wavelets and Fractals, Tome 2 (2016) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2016-0004/