Preprint Article Version 1 This version is not peer-reviewed

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 (doi: 10.20944/preprints202003.0281.v1). Yotkaew, P. On Approximation Methods in Some Geodesic Spaces without the Nice Projection Property. Preprints 2020, 2020030281 (doi: 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.

Subject Areas

Browder's type iteration; CAT(1) space; fixed point; Halpern's type iteration; Moudafi's viscosity type method; nonexpansive mapping

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