Proximal quasi-normal structure in convex metric spaces
2014 ◽
Vol 22
(3)
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pp. 45-58
Keyword(s):
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].
2011 ◽
Vol 2011
(1)
◽
Keyword(s):
1993 ◽
Vol 14
(7)
◽
pp. 685-692
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Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces
2013 ◽
Vol 57
(3-4)
◽
pp. 306-310
◽
Keyword(s):
Keyword(s):