Iterated Function Systems of Generalized Multivalued Mappings in Partial Metric Spaces

This work rigorously proves the existence of attractors of a finite collection of generalized multivalued mappings which are generalized mapping that are defined in the setup of partial metric spaces. We hereby put forward Generalized Multivalued Iterated Function Systems (GMIFS) and we obtain corresponding results under different types of assumptions known as generalized contractive circumstances. We construct a few examples that can be used to illustrate the results obtained in this manuscript. Additionally, this work extends several outcomes documented in prior studies within the fields of Iterated Function Systems (IFS).

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Publication Details

Journal
Contemporary Mathematics
Published
2025-08-26
DOI
https://doi.org/10.37256/cm.6520256370
Primary Topic
Fixed Point Theorems Analysis
Type
article
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article

Iterated Function Systems of Generalized Multivalued Mappings in Partial Metric Spaces

Zakaria Ali, Talat Nazir
Contemporary Mathematics
Fixed Point Theorems Analysis
article

Iterated Function Systems of Generalized Multivalued Mappings in Partial Metric Spaces

Zakaria Ali, Talat Nazir
article en

Abstract

This work rigorously proves the existence of attractors of a finite collection of generalized multivalued mappings which are generalized mapping that are defined in the setup of partial metric spaces. We hereby put forward Generalized Multivalued Iterated Function Systems (GMIFS) and we obtain corresponding results under different types of assumptions known as generalized contractive circumstances. We construct a few examples that can be used to illustrate the results obtained in this manuscript. Additionally, this work extends several outcomes documented in prior studies within the fields of Iterated Function Systems (IFS).

Contemporary Mathematics
University of South Africa (ZA), University of Johannesburg (ZA)
Openalex Percentile: Top 72%
Fixed Point Theorems Analysis
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