Fixed point iterations for Prešić-Kannan nonexpansive mappings in product convex metric spaces

Fixed point iterations for Prešić-Kannan nonexpansive mappings in product convex metric spaces

We introduce Prešić-Kannan nonexpansive mappings on the product spaces and show that they have a unique fixed point in uniformly convex metric spaces. Moreover, we approximate this fixed point by Mann iterations. Our results are new in the literature and are valid in Hilbert spaces, CAT(0) spaces an...

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Bibliographic Details
Main Authors: Fukhar-ud-din Hafiz, Berinde Vasile
Format: Article
Language:English
Published: Sciendo 2018-08-01
Series:Acta Universitatis Sapientiae: Mathematica
Subjects:
convex metric space
prešić kannan nonexpansive mapping
fixed point
mann iterative algorithm
convergence
primary 47h09, 47h10
secondary 49m05
Online Access:https://doi.org/10.2478/ausm-2018-0005

Internet

https://doi.org/10.2478/ausm-2018-0005

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