Proximal quasi-normal structure in convex metric spaces

We consider, in the setting of convex metric spaces, a new class of Kannan type cyclic orbital contractions, and study the existence of its best proximity points. The same problem is then discussed for relatively Kannan nonexpansive mappings, by using the concept of proximal quasi-normal structure....

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Bibliographic Details

Published in:	Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Main Author:	Gabeleh Moosa
Format:	Article
Language:	English
Published:	Sciendo 2014-09-01
Subjects:	best proximity point proximal quasi-normal structure relatively kannan nonexpansive mapping convex metric space 47h10 47h09 46b20
Online Access:	https://doi.org/10.2478/auom-2014-0049