Fixed Point Theorems and Iterative Function System in G-Metric Spaces | Zendy

Salwa Salman Abed | Zendy; Anaam Neamah Faraj | Zendy

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Fixed Point Theorems and Iterative Function System in G-Metric Spaces

Author(s) -

Salwa Salman Abed,

Anaam Neamah Faraj

Publication year - 2019

Publication title -

journal of university of babylon for pure and applied sciences

Language(s) - English

Resource type - Journals

eISSN - 2312-8135

pISSN - 1992-0652

DOI - 10.29196/jubpas.v27i2.2228

Subject(s) - iterated function system , mathematics , iterated function , fixed point , metric space , contraction mapping , contraction (grammar) , construct (python library) , metric (unit) , pure mathematics , fractal , operator (biology) , fixed point theorem , discrete mathematics , mathematical analysis , computer science , operations management , economics , medicine , biochemistry , chemistry , repressor , transcription factor , gene , programming language

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.

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