Iterated function system of generalized cyclic F-contractive mappings

The aim of this paper is to study the sufficient conditions for the existence of attractor of a generalized cyclic iterated function system composed of a complete metric space and a finite collection of generalized cyclic F-contraction mappings. Some examples are presented to support our main result...

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Main Authors: Talat Nazir, Mujahid Abbas, Hira Haleem Lodhi
Format: Article
Language:English
Published: Universitat Politècnica de València 2024-04-01
Series:Applied General Topology
Subjects:
Online Access:https://polipapers.upv.es/index.php/AGT/article/view/20211
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author Talat Nazir
Mujahid Abbas
Hira Haleem Lodhi
author_facet Talat Nazir
Mujahid Abbas
Hira Haleem Lodhi
author_sort Talat Nazir
collection DOAJ
description The aim of this paper is to study the sufficient conditions for the existence of attractor of a generalized cyclic iterated function system composed of a complete metric space and a finite collection of generalized cyclic F-contraction mappings. Some examples are presented to support our main results and concepts defined herein. The results proved in the paper extend and generalize various well known results in the existing literature.
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spelling doaj.art-33014b41fe5740d3aa9405d05322e4832024-04-09T12:09:01ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472024-04-01251799610.4995/agt.2024.2021119404Iterated function system of generalized cyclic F-contractive mappingsTalat Nazir0https://orcid.org/0000-0001-6516-3212Mujahid Abbas1https://orcid.org/0000-0001-5528-1207Hira Haleem Lodhi2University of South AfricaUniversity of PretoriaCOMSATS University IslamabadThe aim of this paper is to study the sufficient conditions for the existence of attractor of a generalized cyclic iterated function system composed of a complete metric space and a finite collection of generalized cyclic F-contraction mappings. Some examples are presented to support our main results and concepts defined herein. The results proved in the paper extend and generalize various well known results in the existing literature.https://polipapers.upv.es/index.php/AGT/article/view/20211iterated functions systemattractors of ifsf-contractioncyclic f-contractionscyclic rational f-contractionset valued mapping
spellingShingle Talat Nazir
Mujahid Abbas
Hira Haleem Lodhi
Iterated function system of generalized cyclic F-contractive mappings
Applied General Topology
iterated functions system
attractors of ifs
f-contraction
cyclic f-contractions
cyclic rational f-contraction
set valued mapping
title Iterated function system of generalized cyclic F-contractive mappings
title_full Iterated function system of generalized cyclic F-contractive mappings
title_fullStr Iterated function system of generalized cyclic F-contractive mappings
title_full_unstemmed Iterated function system of generalized cyclic F-contractive mappings
title_short Iterated function system of generalized cyclic F-contractive mappings
title_sort iterated function system of generalized cyclic f contractive mappings
topic iterated functions system
attractors of ifs
f-contraction
cyclic f-contractions
cyclic rational f-contraction
set valued mapping
url https://polipapers.upv.es/index.php/AGT/article/view/20211
work_keys_str_mv AT talatnazir iteratedfunctionsystemofgeneralizedcyclicfcontractivemappings
AT mujahidabbas iteratedfunctionsystemofgeneralizedcyclicfcontractivemappings
AT hirahaleemlodhi iteratedfunctionsystemofgeneralizedcyclicfcontractivemappings