Mathematics - Scholarly Publications

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Browsing Mathematics - Scholarly Publications by Subject "Best proximity point"

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    Best proximity point results for Hardy–Rogers p-proximal cyclic contraction in uniform spaces.
    (Springer Open Journal, 2018) Olisama, V.O.; Olaleru, J.O; Akewe, H
    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.