Best proximity point results for Hardy–Rogers p-proximal cyclic contraction in uniform spaces.
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Date
2018
Authors
Olisama, V.O.
Olaleru, J.O
Akewe, H
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Open Journal
Abstract
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.
Description
Staff publications
Keywords
Best proximity point , Cyclic contraction , Hardy–Rogers cyclic contraction , p-proximal contraction , Uniform spaces , Research Subject Categories::MATHEMATICS
Citation
Olisama, V.O. Olaleru, J.O. and Akewe, H. (2018). Best proximity point results for Hardy–Rogers p-proximal cyclic contraction in uniform spaces. Fixed point theory and application. A Springer open Journal.