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

Authors

  • PATCHARAPUND KHAJORNPHET Mathematics Program, Faculty of Science and Technology, Phetchabun Rajabhat University, Phetchabun 67000, Thailand
  • TIWABHORN KHANPANAK Mathematics and Computing Science Program, Faculty of Science and Technology, Phetchabun Rajabhat University, Phetchabun 67000, Thailand
  • SUPANSA NOINAKORN Mathematics and Computing Science Program, Faculty of Science and Technology, Phetchabun Rajabhat University, Phetchabun 67000, Thailand
  • NUTTAPOL 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

Published

12/31/2023

Issue

Vol. 14 No. 2 (2023): JNAO

Section

Research Articles

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Copyright (c) 2024 Journal of Nonlinear Analysis and Optimization: Theory & Applications (JNAO)

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

Creative Commons License

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