Fractals of generalized F− Hutchinson operator

• Autorzy: Talat Nazir , Sergei Silvestrov , Mujahid Abbas
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Iterated function system; set-valued mapping; domain of sets; fixed point; F-contraction

• Wydawca: De Gruyter Open
• Czasopismo: Waves, Wavelets and Fractals
• Rocznik: 2016
• Tom: 2
• Numer: 1

Daty

otrzymano

2016-02-01

zaakceptowano

2016-03-03

online

2016-06-29

Twórcy

autor

Talat Nazir

• Division of Applied Mathematics, School of Education, Culture and Communication, Sweden
• Department of Mathematics, COMSATS Institute of Information Technology, 22060 Abbottabad, Pakistan

autor

Sergei Silvestrov

• Division of Applied Mathematics, School of Education, Culture and Communication, Sweden

autor

Mujahid Abbas

• Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road, Pretoria 0002, South Africa

Identyfikatory

DOI

10.1515/wwfaa-2016-0004