Coupled Meir–Keeler Type Contraction in Metric Spaces with an Application to Partial Metric Spaces

Choudhury, Binayak S.; Bandyopadhyay, Chaitali

doi:10.1007/s10013-016-0186-y

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“…To understand partial metric spaces, one may refer to [13][14][15]. For generalizations of the Banach contraction theorem, in which the underlying space is a partial metric space, one may refer to [16][17][18][19][20]. In this article, we give the conditions for the existence of a unique fixed point and a best proximity point of p-cyclic orbital Meir-Keeler maps in partial metric spaces.…”

Section: Introductionmentioning

confidence: 99%

On p-Cyclic Orbital M-K Contractions in a Partial Metric Space

2018

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A cyclic map with a contractive type of condition called p-cyclic orbital M-Kcontraction is introduced in a partial metric space. Sufficient conditions for the existence and uniqueness of fixed points and the best proximity points for these maps in complete partial metric spaces are obtained. Furthermore, a necessary and sufficient condition for the completeness of partial metric spaces is given. The results are illustrated with an example.

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Section: Introductionmentioning

confidence: 99%

On p-Cyclic Orbital M-K Contractions in a Partial Metric Space

2018

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Fixed-Point Results for Meir–Keeler Type Contractions in Partial Metric Spaces: A Survey

et al. 2022

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In this paper, we aim to review Meir–Keeler contraction mappings results on various abstract spaces, in particular, on partial metric spaces, dislocated (metric-like) spaces, and M-metric spaces. We collect all significant results in this direction by involving interesting examples. One of the main reasons for this work is to help young researchers by giving a framework for Meir Keeler’s contraction.

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Coupled Meir–Keeler Type Contraction in Metric Spaces with an Application to Partial Metric Spaces

Cited by 2 publications

References 24 publications

On p-Cyclic Orbital M-K Contractions in a Partial Metric Space

On p-Cyclic Orbital M-K Contractions in a Partial Metric Space

Fixed-Point Results for Meir–Keeler Type Contractions in Partial Metric Spaces: A Survey

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