TITLE

Proximal quasi-normal structure in convex metric spaces

AUTHOR(S)
Gabeleh, Moosa
PUB. DATE
September 2014
SOURCE
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria M;2014, Vol. 22 Issue 3, p45
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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. In this way, we extend the main results in Abkar and Gabeleh [A. Abkar and M. Gabeleh, J. Nonlin. Convex Anal. 14 (2013), 653-659].
ACCESSION #
112454079

 

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