Fixed point iterations for Prešić-Kannan nonexpansive mappings in product convex metric spaces
Abstract
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 and Banach spaces simultaneously.
DOI: https://doi.org/10.2478/ausm-2018-0005 | Journal eISSN: 2066-7752
Language: English
Page range: 56 - 69
Submitted on: Feb 21, 2017
Published on: Sep 10, 2018
Published by: Sapientia Hungarian University of Transylvania
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year
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© 2018 Hafiz Fukhar-ud-din, Vasile Berinde, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.