Third International Conference on Applications of Mathematics to Nonlinear Sciences.
Electron. J. Diff. Eqns., Conference 27 (2024), pp. 13-26.

Convergence theorems of implicit type iterations in geodesic spaces with negative curvature

Yasunori Kimura, Kazuya Sasaki, Kakeru Torii

Abstract:
In this article, we prove convergence theorems of the implicit iterative methods in the sense of Browder type and Xu-Ori type with (-1)-convex combination in CAT(-1) spaces.

Published August 20, 2024.
Math Subject Classifications: 47H09.
Key Words: Geodesic space; convergence theorem; Delta-convergence; CAT(-1) space
DOI: 10.58997/ejde.conf.27.k1

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Yasunori Kimura
Department of Information Science
Toho University
Miyama, Funabashi, Chiba 274-8510, Japan
email: yasunori@is.sci.toho-u.ac.jp
Kazuya Sasaki
Faculty of Science
Toho University, Miyama
Funabashi, Chiba 274-8510, Japan
email: kazuya.sasaki@sci.toho-u.ac.jp
Kakeru Torii
Japan
email: torikake.1123.8@gmail.com

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