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

Salwa Salman Abed, Anaam Neamah Faraj
JOURNAL OF UNIVERSITY OF BABYLON for Pure and Applied Sciences , Volume 27, pp 329-340; doi:10.29196/jubpas.v27i2.2228

Abstract: In this paper, we introduce the Hutchinson Barnsley operator (shortly, operator) on a metric space and employ its theory to construct a fractal set as its unique fixed point by using Ciric type generalized -contraction in complete metric space. Some concepts are illustrated by numerical examples.
Keywords: Function / CONTRACTION / fractal / fixed point / metric space / iterative / Hutchinson / theorems / Illustrated

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