THE NAKAJO–TAKAHASHI TYPE PROJECTION METHOD FOR A NONEXPANSIVE MAPPING ON A HADAMARD SPACE

KAZUYA SASAKI AND SHUTA SUDO

Keywords: Hadamard space, fixed point approximation, projection method. AMS Subject Classification: 47H10, 58C30.

Abstract

In this work, we propose a new iterative scheme on a Hadamard space to find a fixed point of a nonexpansive mapping. For this purpose, we deal with a projection method introduced by Nakajo and Takahashi, and we use a tangent space on a Hadamard space to generate an iterative set-sequence.

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