On Geraghty-Wardowski type contractions and an application

Vahid Parvaneh; Babak Mohammadi; Hassen Aydi

doi:10.1007/s13370-021-00929-y

On Geraghty-Wardowski type contractions and an application

Vahid Parvaneh^*, Babak Mohammadi, Hassen Aydi

^*Corresponding author for this work

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

2 Citations (Scopus)

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 language	English
Pages (from-to)	1697-1708
Number of pages	12
Journal	Afrika Matematika
Volume	32
Issue number	7-8
DOIs	https://doi.org/10.1007/s13370-021-00929-y
Publication status	Published - Nov 2021
Externally published	Yes

Keywords

Common fixed point
Complex partial metric space
Expanding mapping
Fixed point

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10.1007/s13370-021-00929-y

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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.",

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AU - Aydi, Hassen

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AB - 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.

KW - Common fixed point

KW - Complex partial metric space

KW - Expanding mapping

KW - Fixed point

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On Geraghty-Wardowski type contractions and an application

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Keywords

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