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Strict fixed point and Ulam-Hyers stability of multivalued asymptotically regular mappings

  • Dolapo Muhammed Oyetunbi
  • , Abdul Rahim Khan
  • , Khairul Saleh*
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we establish the existence and uniqueness of strict fixed point for an asymptotically regular multivalued mapping in a metric space. We also study the Ulam-Hyers stability, well-posedness and data dependence of the associated strict fixed point problem. We give an example to illustrate our results. Our work extends and complements important results existing in the literature.

Original languageEnglish
Pages (from-to)661-668
Number of pages8
JournalFilomat
Volume38
Issue number2
DOIs
StatePublished - 2024

Bibliographical note

Publisher Copyright:
© 2024, University of Nis. All rights reserved.

Keywords

  • Asymptotically regular
  • Ulam-Hyers stability
  • metric space
  • multivalued mapping
  • orbitally continuous
  • strict fixed point
  • well-posedness

ASJC Scopus subject areas

  • General Mathematics

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