On Geraghty-Wardowski type contractions and an application

Vahid Parvaneh*, Babak Mohammadi, Hassen Aydi

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The aim of this work is to extend the Geraghty fixed point result motivated by the approach of Wardowski (Fixed Point Theory Appl 2012:94, 2012). Precisely, we introduce the class of Geraghty α-Γ - χ-contractions and provide the related fixed point result in (ordered) b-metric spaces. We also derive periodic point results for Geraghty α-Γ - χ-contractions. Moreover, we provide a concrete example and an application to highlight the realized improvements.

Original languageEnglish
JournalAfrika Matematika
DOIs
Publication statusAccepted/In press - 2021
Externally publishedYes

Keywords

  • Common fixed point
  • Complex partial metric space
  • Expanding mapping
  • Fixed point

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