Fixed point theorems and iterative function system in G−metric spaces

Other Title(s)

مبرهنات النقطة الصامدة و نظام الدوال التكرارية في فضاءات G المترية

Joint Authors

Faraj, Inam Nimah
Abd, Salwa Salman

Source

Journal of Babylon University : Journal of Applied and Pure Sciences

Issue

Vol. 27, Issue 2 (30 Apr. 2019), pp.329-340, 12 p.

Publisher

University of Babylon

Publication Date

2019-04-30

Country of Publication

Iraq

No. of Pages

12

Main Subjects

Mathematics

Abstract EN

Iterated function space is a method to construct fractals and the results are self-similar.

In this paper, we introduce the Hutchinson Barnsley operator (shortly, (H − B) operator) on a G − metric space and employ its theory to construct a fractal set as its unique fixed point by using Ciric type generalized F-contraction in complete G − metric space.

In addition, some concepts are illustrated by numerical examples.

American Psychological Association (APA)

Abd, Salwa Salman& Faraj, Inam Nimah. 2019. Fixed point theorems and iterative function system in G−metric spaces. Journal of Babylon University : Journal of Applied and Pure Sciences،Vol. 27, no. 2, pp.329-340.
https://search.emarefa.net/detail/BIM-1091193

Modern Language Association (MLA)

Abd, Salwa Salman& Faraj, Inam Nimah. Fixed point theorems and iterative function system in G−metric spaces. Journal of Babylon University : Journal of Applied and Pure Sciences Vol. 27, no. 2 (2019), pp.329-340.
https://search.emarefa.net/detail/BIM-1091193

American Medical Association (AMA)

Abd, Salwa Salman& Faraj, Inam Nimah. Fixed point theorems and iterative function system in G−metric spaces. Journal of Babylon University : Journal of Applied and Pure Sciences. 2019. Vol. 27, no. 2, pp.329-340.
https://search.emarefa.net/detail/BIM-1091193

Data Type

Journal Articles

Language

English

Notes

Record ID

BIM-1091193