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Open AccessArticle

Best Approximation Results in Various Frameworks

Laboratory of Algebra, Analysis and Applications (L3A), Departement of Mathematics and Computer Science, Faculty of Sciences Ben M’sik, Hassan II University of Casablanca, P.B 7955 Sidi Othmane, Casablanca, Morocco
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Axioms 2019, 8(2), 67; https://doi.org/10.3390/axioms8020067
Received: 20 April 2019 / Revised: 15 May 2019 / Accepted: 16 May 2019 / Published: 27 May 2019
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
We first provide a best proximity point result for quasi-noncyclic relatively nonexpansive mappings in the setting of dualistic partial metric spaces. Then, those spaces will be endowed with convexity and a result for a cyclic mapping will be obtained. Afterwards, we prove a best proximity point result for tricyclic mappings in the framework of the newly introduced extended partial S b -metric spaces. In this way, we obtain extensions of some results in the literature. View Full-Text
Keywords: best proximity point; dualistic partial metric space; tricyclic mappings; extended partial Sb-metric space best proximity point; dualistic partial metric space; tricyclic mappings; extended partial Sb-metric space
MDPI and ACS Style

Sabar, T.; Bassou, A.; Aamri, M. Best Approximation Results in Various Frameworks. Axioms 2019, 8, 67.

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