Common Attractors for Generalized F-Iterated Function Systems in G-Metric Spaces

Autor:	Talat Nazir, Sergei Silvestrov
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	common attractor F-Hutchinson operator F-iterated function system G-metric space common fixed point Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 8, Iss 6, p 346 (2024)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract8060346
Popis:	In this paper, we study the generalized F-iterated function system in G-metric space. Several results of common attractors of generalized iterated function systems obtained by using generalized F-Hutchinson operators are also established. We prove that the triplet of F-Hutchinson operators defined for a finite number of general contractive mappings on a complete G-metric space is itself a generalized F-contraction mapping on a space of compact sets. We also present several examples in 2-D and 3-D for our results.
Databáze:	Directory of Open Access Journals
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