Fixed point results of weakly contraction mappings in partially ordered b-metric spaces

We explored the results of fixed point, coincidence point and coupled coincidence point for the mappings in an ordered metric spaces. Our results generalized and extended the well-known results in the literature. Some numerical examples are provided for justifying the results obtained. Some fixed po...

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Bibliographic Details
Published in:BMC research notes 2022-02, Vol.15 (1), p.29-29, Article 29
Main Authors: Kalyani, K, Seshagiri Rao, N
Format: Article
Language:English
Subjects:
({\hat{\phi }}, {\hat{\psi }})$$ ( ϕ ^ , ψ ^ ) -Weak contractions
Algorithms
Coincidence point
Compatible mappings
Coupled coincidence point
Coupled common fixed points
Fixed point
Models, Theoretical
Research Note
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Summary:We explored the results of fixed point, coincidence point and coupled coincidence point for the mappings in an ordered metric spaces. Our results generalized and extended the well-known results in the literature. Some numerical examples are provided for justifying the results obtained. Some fixed point results are found for a self mapping in a partially ordered b-metric space which satisfies a generalized week contraction condition. Furthermore, these results are extended for two self mappings for obtaining coincidence point, coupled coincidence point and coupled common fixed point in the same context. A few examples are presented to support the findings.
ISSN:1756-0500
1756-0500
DOI:10.1186/s13104-022-05914-7