Article
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On Approximation Methods in Some Geodesic Spaces without the Nice Projection Property
Version 1
: Received: 17 March 2020 / Approved: 17 March 2020 / Online: 17 March 2020 (16:15:34 CET)
How to cite: Yotkaew, P. On Approximation Methods in Some Geodesic Spaces without the Nice Projection Property. Preprints 2020, 2020030281. https://doi.org/10.20944/preprints202003.0281.v1 Yotkaew, P. On Approximation Methods in Some Geodesic Spaces without the Nice Projection Property. Preprints 2020, 2020030281. https://doi.org/10.20944/preprints202003.0281.v1
Abstract
The purpose of this paper is to prove strong convergent theorems for Browder's type iterations and Halpern's type iterations of a family of nonexpansive mappings in a complete geodesic space with curvature bounded above by a positive number. Moudafi's viscosity type methods are also discussed without the nice projection property.
Keywords
Browder's type iteration; CAT(1) space; fixed point; Halpern's type iteration; Moudafi's viscosity type method; nonexpansive mapping
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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