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

Autor: Victoria O. Olisama, Johnson O. Olaleru, Hudson Akewe
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Fixed Point Theory and Applications, Vol 2018, Iss 1, Pp 1-15 (2018)
Druh dokumentu: article
ISSN: 1687-1812
DOI: 10.1186/s13663-018-0643-2
Popis: 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.
Databáze: Directory of Open Access Journals
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