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

Hafiz Fukhar-ud-din

Hafiz Fukhar-ud-din

Department of Mathematics and Statistics, King Fahd University of Petroleum and MineralsSaudi Arabia
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Fukhar-ud-din, Hafiz
 and 
Vasile Berinde

Vasile Berinde

Department of Mathematics and Computer Science, North University Center of Baia Mare (Technical University of Cluj-Napoca), Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals
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Berinde, Vasile
  
Sep 10, 2018
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Published Online: Sep 10, 2018
Page range: 56 - 69
Received: Feb 21, 2017
DOI: https://doi.org/10.2478/ausm-2018-0005
Keywords
© 2018 Hafiz Fukhar-ud-din et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Mathematics, General Mathematics
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