Proximal quasi-normal structure in convex metric spaces

Gabeleh, Moosa
September 2014
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria M;2014, Vol. 22 Issue 3, p45
Academic Journal
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].


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