BALANCED MAPPINGS AND AN ITERATIVE SCHEME IN COMPLETE GEODESIC SPACES

Authors

  • T. Kajimura Miyamoto Junior High School, Higashifunabashi, Funabashi, Chiba 273-0002, Japan
  • K. Kasahara Department of Information Science, Toho University, Miyama, Funabashi, Chiba 274-8510, Japan
  • Y. Kimura Department of Information Science, Toho University, Miyama, Funabashi, Chiba 274-8510, Japan
  • K. Nakagawa Department of Information Science, Toho University, Miyama, Funabashi, Chiba 274-8510, Japan

Keywords:

common fixed point, CAT(1) space, quasinonexpansive, Mann type, iteration

Abstract

In this paper, we define a balanced mapping by a maximizer of a certain function generated by a finite number of mappings without regard to their order and find its fundamental properties in a complete CAT(1) space. Furthermore, we approximate a fixed point of a balanced mapping which is generated by a finite number of quasinonexpansive and equation-demiclosed mappings by using Mann's iterative scheme.

Additional Files

Published

04/01/2021

How to Cite

Kajimura, T., Kasahara, K., Kimura, Y. ., & Nakagawa, K. (2021). BALANCED MAPPINGS AND AN ITERATIVE SCHEME IN COMPLETE GEODESIC SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 12(1), 1–11. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2793

Issue

Vol. 12 No. 1 (2021): JNAO

Section

Research Articles

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Copyright (c) 2010 Journal of Nonlinear Analysis and Optimization: Theory & Applications

Creative Commons License

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.