ON COMMON FIXED POINT THEOREMS FOR UNIFORMLY ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACES

Authors

  • P. Kingkam -

Keywords:

fixed point, asymptotically quasi-nonexpansive mapping, CAT(0) space, hyperbolic space.

Abstract

In this paper, we prove common fixed point theorems for two uniformly L-Lipschitzian and asymptotically quasi-nonexpansive non-self maps with respect to retraction P via implicit algorithm. Furthermore, we establish a demiclosed principle for such mappings in the setting of hyperbolic spaces. Our results generalize, extend and improve some related results in the existing literature.

Additional Files

Published

06/30/2025

Issue

Vol. 16 No. 1 (2025): January-June 2025

Section

Research Articles

License

Copyright (c) 2025 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.