A MODIFIED ITERATIVE ALGORITHM FOR PREŠIĆ TYPE NONEXPANSIVE OF MAPPING IN HADAMARD SPACES

P. Khajornphet; T. Khanpanak; S. Noinakorn; N. Pakkaranang

A MODIFIED ITERATIVE ALGORITHM FOR PREŠIĆ TYPE NONEXPANSIVE OF MAPPING IN HADAMARD SPACES

Authors

P. Khajornphet Mathematics Program, Faculty of Science and Technology, Phetchabun Rajabhat University, Phetchabun 67000, Thailand
T. Khanpanak Mathematics and Computing Science Program, Faculty of Science and Technology, Phetchabun Rajabhat University, Phetchabun 67000, Thailand
S. Noinakorn Mathematics and Computing Science Program, Faculty of Science and Technology, Phetchabun Rajabhat University, Phetchabun 67000, Thailand
N. Pakkaranang Mathematics and Computing Science Program, Faculty of Science and Technology, Phetchabun Rajabhat University, Phetchabun 67000, Thailand

Keywords:

Prešić type nonexpansive mapping, fixed point, S-type iterative algorithm, Convergence theorem, CAT(0) spaces

Abstract

In this paper, we introduce a modified iterative method tailored for Prešić nonexpansive mappings in Hadamard spaces. Furthermore, we establish a Δ-convergence theorem aimed at approximating fixed points through the proposed iterative algorithm under mild conditions. Our findings not only enhance existing results in the field but also offer a broader applicability within the literature.

Additional Files

Pages 63-69

Published

12/31/2023

How to Cite

Khajornphet, P., Khanpanak, T., Noinakorn, S., & Pakkaranang, N. (2023). A MODIFIED ITERATIVE ALGORITHM FOR PREŠIĆ TYPE NONEXPANSIVE OF MAPPING IN HADAMARD SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 14(2), 63–69. retrieved from https://ph03.tci-thaijo.org/index.php/jnao/article/view/2763