Iterated Function System of Generalized Contractions in Partial Metric Spaces

Talat Nazir, Melusi Khumalo, Vuledzani Makhoshi

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

In this paper we aim to obtain the attractors with the assistance of a finite family of generalized contractive mappings, which belong to a 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 in support of the results proved herein. Our results generalize, unify and extend a variety of results which exist in current literature.

Original languageEnglish
Pages (from-to)5161-5180
Number of pages20
JournalFilomat
Volume35
Issue number15
DOIs
Publication statusPublished - 2021
Externally publishedYes

Keywords

  • Attractor
  • Fixed point
  • Generalized contraction
  • Iterated function system
  • Partial metric space

ASJC Scopus subject areas

  • General Mathematics

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