Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings

In this study, at first we prove that the existence of best proximity points for cyclic nonexpansive mappings is equivalent to the existence of best proximity pairs for noncyclic nonexpansive mappings in the setting of strictly convex Banach spaces by usi...

Full description

Bibliographic Details
Main Authors: Gabeleh Moosa, Künzi Hans-Peter A.
Format: Article
Language:English
Published: De Gruyter 2020-05-01
Series:Demonstratio Mathematica
Subjects:
Online Access:http://www.degruyter.com/view/j/dema.2020.53.issue-1/dema-2020-0005/dema-2020-0005.xml?format=INT