B. Nuntadilok, P. Kingkam, J. Nantadilok, Common fixed point theorems of two finite families of asymptotically quasi-nonexpansive mappings in hyperbolic spaces, Vol. 2023 (2023), Article ID 27, pp. 1-15

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DOI: 10.23952/jnfa.2023.27

Received May 31, 2023; Accepted August 2, 2023; Published August 15, 2023

Abstract. In this paper, we establish strong convergence theorems via an implicit algorithm for two finite families of uniformly L-Lipschitzian asymptotically quasi-nonexpansive maps in hyperbolic spaces. We prove some results concerning $\Delta$ -convergence as well as strong convergence of the implicit algorithm. Our results are the generalization of some recent results in CAT(0) spaces, uniformly convex Banach spaces, and hyperbolic spaces.

How to Cite this Article:
B. Nuntadilok, P. Kingkam, J. Nantadilok, Common fixed point theorems of two finite families of asymptotically quasi-nonexpansive mappings in hyperbolic spaces, J. Nonlinear Funct. Anal. 2023 (2023) 27.