Best proximity point results for Hardy–Rogers p-proximal cyclic contraction in uniform spaces.
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Springer Open Journal
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.
Best proximity point , Cyclic contraction , Hardy–Rogers cyclic contraction , p-proximal contraction , Uniform spaces , Research Subject Categories::MATHEMATICS
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.