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Best proximity point results for Hardy–Rogers p-proximal cyclic contraction in uniform spaces

Article scientifique 2018 Anglais

Résumé

The Hardy–Rogers p -proximal cyclic contraction, which includes the cyclic, Kannan, Chatterjea and Reich contractions as sub-classes, is developed in uniform spaces. The existence and uniqueness results of best proximity points for these contractions are proved. The results, which are for non-self maps, apart from the fact that they are new in literature, generalise several other similar results in literature. Examples are given to validate the results obtained.

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Olisama, V., Olaleru, J., Akewe, H. (2018). Best proximity point results for Hardy–Rogers p-proximal cyclic contraction in uniform spaces. https://doi.org/10.1186/s13663-018-0643-2

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Auteur(s)

Victoria Olisama J. O. Olaleru Hudson Akewe

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