CONVERGENCE THEOREMS FOR OPERATORS WITH PROPERTY (E) IN CAT(0) SPACES

Authors

  • S. Temir Department of Mathematics, Faculty of Arts and Sciences, Adıyaman University, 02040, Adıyaman, Turkey

Keywords:

Fixed point, iteration process, stability, ∆-convergence, CAT(0) space, Garcia-Falset mapping

Abstract

In this paper, we study the convergence of the SP*-iteration process to fixed point for operators with property (E) in CAT(0) spaces. We also prove the stability of the SP*-iteration process in CAT(0) spaces. Our results improve and extend some recently results in the literature of fixed point theory in CAT(0) spaces.

Additional Files

Published

12/29/2024

Issue

Vol. 15 No. 2 (2024): July-December 2024

Section

Research Articles

License

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

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

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.