Generalized iterated function system for common attractors in partial metric spaces

Melusi Khumalo; Talat Nazir; Vuledzani Makhoshi

doi:10.3934/math.2022723

Generalized iterated function system for common attractors in partial metric spaces

Melusi Khumalo, Talat Nazir, Vuledzani Makhoshi

University of South Africa

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we aim to obtain some new common attractors with the assistance of finite families of generalized contractive mappings, that belong to the special class of mappings defined on a partial metric space. Consequently, a variety of results for iterated function systems satisfying a different set of generalized contractive conditions are acquired. We present some examples to reinforce the results proved herein. These results generalize, unify and extend a variety of results that exist in current literature.

Original language	English
Pages (from-to)	13074-13103
Number of pages	30
Journal	AIMS Mathematics
Volume	7
Issue number	7
DOIs	https://doi.org/10.3934/math.2022723
Publication status	Published - 2022
Externally published	Yes

Keywords

common attractor
common fixed point
generalized contraction
generalized iterated function system
partial metric space

ASJC Scopus subject areas

General Mathematics

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10.3934/math.2022723

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abstract = "In this paper, we aim to obtain some new common attractors with the assistance of finite families of generalized contractive mappings, that belong to the special class of mappings defined on a partial metric space. Consequently, a variety of results for iterated function systems satisfying a different set of generalized contractive conditions are acquired. We present some examples to reinforce the results proved herein. These results generalize, unify and extend a variety of results that exist in current literature.",

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AU - Nazir, Talat

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AB - In this paper, we aim to obtain some new common attractors with the assistance of finite families of generalized contractive mappings, that belong to the special class of mappings defined on a partial metric space. Consequently, a variety of results for iterated function systems satisfying a different set of generalized contractive conditions are acquired. We present some examples to reinforce the results proved herein. These results generalize, unify and extend a variety of results that exist in current literature.

KW - common attractor

KW - common fixed point

KW - generalized contraction

KW - generalized iterated function system

KW - partial metric space

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ER -

Generalized iterated function system for common attractors in partial metric spaces

Abstract

Keywords

ASJC Scopus subject areas

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