Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme

Recently, Khaleel et al. presented the innovative cyclic contractions of the Chatterjea and Kannan type and derived certain results with the help of Picard’s iterative scheme in the context of G-metric spaces. Motivated by these new contractions, certain fixed point results are obtained in Gb-metric spaces using Mann’s iterative scheme. An example is provided to elaborate the results obtained. An application is given to validate the results.

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Publication Details

Journal
Partial Differential Equations in Applied Mathematics
Published
2025-02-28
DOI
https://doi.org/10.1016/j.padiff.2025.101145
Primary Topic
Fixed Point Theorems Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme

Nabil Mlaiki, Sarah Aljohani, Samina Batul, Amna Naz
Partial Differential Equations in Applied Mathematics
Fixed Point Theorems Analysis
article

Results for cyclic contractive mappings of Kannan and Chatterjea type equipped with Mann’s iterative scheme

Nabil Mlaiki, Sarah Aljohani, Samina Batul, Amna Naz
article en

Abstract

Recently, Khaleel et al. presented the innovative cyclic contractions of the Chatterjea and Kannan type and derived certain results with the help of Picard’s iterative scheme in the context of G-metric spaces. Motivated by these new contractions, certain fixed point results are obtained in Gb-metric spaces using Mann’s iterative scheme. An example is provided to elaborate the results obtained. An application is given to validate the results.

Partial Differential Equations in Applied MathematicsVol. 13
Prince Sultan University
Openalex Percentile: Top 93%
Fixed Point Theorems Analysis
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