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

Authors

  • B. Nuntadilok Department of Mathematics, Faculty of Sciences, Maejo University, Chiangmai, Thailand
  • P. Kingkam Department of Mathematics, Faculty of Sciences, Lampang Rajabhat University, Lampang,Thailand

Keywords:

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

Abstract

The aim of this manuscript is to establish a common fixed point theorem for two uniformly L-Lipschitzian and asymptotically quasi-nonexpansive non-self maps with respect to retraction P via implicit algorithm and to prove common fixed point results of two weakly inward and asymptotically quasi-nonexpansive mappings with respect to P satisfying condition (A) and condition (B), in a more general set up of hyperbolic space. 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

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Copyright (c) 2025 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.