Some Results on Generalized Asymptotically Nonexpansive Mappings in p-Hadamard Spaces

Kaewta Juanak; Aree Varatechakongka; Withun Phuengrattana∗

doi:10.5666/KMJ.2023.63.3.451

Article

Kyungpook Mathematical Journal 2023; 63(3): 451-461

Published online September 30, 2023

Some Results on Generalized Asymptotically Nonexpansive Mappings in p-Hadamard Spaces

Kaewta Juanak, Aree Varatechakongka and Withun Phuengrattana∗

Department of Mathematics, Faculty of Science and Technology, Nakhon Pathom Rajabhat University, Nakhon Pathom 73000, Thailand
e-mail : ams_2413@hotmail.com, aree@npru.ac.th and withunph@webmail.npru.ac.th

Received: March 10, 2023; Revised: July 7, 2023; Accepted: July 20, 2023

Abstract

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Abstract

In this paper, we study the fixed point property for generalized asymptotically nonexpansive mappings in the setting of p-Hadamard spaces, with p≥2. We prove the strong convergence of the sequence generated by the modified two-step iterative sequence for finding a fixed point of a generalized asymptotically nonexpansive mapping in p-Hadamard spaces.

Keywords: generalized asymptotically nonexpansive mappings, fixed point, existence theorems, convergence theorems, p-Hadamard spaces.