<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

King Fahd University of Petroleum and Minerals

Department of Mathematics and Computer Science

North University Center of Baia Mare (Technical University of Cluj-Napoca)

Acta Universitatis Sapientiae, Mathematica

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....

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

Published Online: Sep 10, 2018

Page range: 56 - 69

Received: Feb 21, 2017

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

Keywords
convex metric space, Prešić Kannan nonexpansive mapping, fixed point, Mann iterative algorithm, convergence

© 2018 Hafiz Fukhar-ud-din et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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

Published Online: Sep 10, 2018

Page range: 56 - 69

Received: Feb 21, 2017

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

Keywordsconvex metric space, Prešić Kannan nonexpansive mapping, fixed point, Mann iterative algorithm, convergence

© 2018 Hafiz Fukhar-ud-din et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
convex metric space, Prešić Kannan nonexpansive mapping, fixed point, Mann iterative algorithm, convergence