Fractals of generalized F− Hutchinson operator

Talat Nazir, Sergei Silvestrov, and Mujahid Abbas. "Fractals of generalized F− Hutchinson operator." Waves, Wavelets and Fractals 2.1 (2016): null. <http://eudml.org/doc/281142>.

@article{TalatNazir2016,
abstract = {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.},
author = {Talat Nazir, Sergei Silvestrov, Mujahid Abbas},
journal = {Waves, Wavelets and Fractals},
keywords = {Iterated function system; set-valued mapping; domain of sets; fixed point; F-contraction; common fixed point; multivalued mapping; -contraction; ordered metric space},
language = {eng},
number = {1},
pages = {null},
title = {Fractals of generalized F− Hutchinson operator},
url = {http://eudml.org/doc/281142},
volume = {2},
year = {2016},
}

TY - JOUR
AU - Talat Nazir
AU - Sergei Silvestrov
AU - Mujahid Abbas
TI - Fractals of generalized F− Hutchinson operator
JO - Waves, Wavelets and Fractals
PY - 2016
VL - 2
IS - 1
SP - null
AB - 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.
LA - eng
KW - Iterated function system; set-valued mapping; domain of sets; fixed point; F-contraction; common fixed point; multivalued mapping; -contraction; ordered metric space
UR - http://eudml.org/doc/281142
ER -