THEOREMS OF THE MINIMIZATION PROBLEM AND FIXED POINT PROBLEM OF TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN CAT(0) SPACES

J. Limprayoon

doi:10.69650/jnao.2023.14.1.2775

THEOREMS OF THE MINIMIZATION PROBLEM AND FIXED POINT PROBLEM OF TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN CAT(0) SPACES

Authors

J. Limprayoon Department of Mathematics, Rambhai Barni Rajabhat University, Chanthaburi 22000, Thailand.

DOI:

https://doi.org/10.69650/jnao.2023.14.1.2775

Keywords:

minimization problem, fixed point problem, total asymptotically nonexpansive mapping, convergence theorem, CAT(0) space

Abstract

In this paper, we propose an iterative algorithm designed to address the minimization and fixed point problems associated with total asymptotically nonexpansive mappings in CAT(0) spaces. We establish strong convergence theorems and △-convergence theorems for solving these problems. Furthermore, we apply the key findings to solve the equilibrium problem in CAT(0) spaces.

Additional Files

Pages 21-31

Published

03/31/2023

How to Cite

Limprayoon, J. (2023). THEOREMS OF THE MINIMIZATION PROBLEM AND FIXED POINT PROBLEM OF TOTAL ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN CAT(0) SPACES. Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO), 14(1), 21–31. https://doi.org/10.69650/jnao.2023.14.1.2775