DOI: 10.24193/fpt-ro.2022.1.05

Authors: M.R. Alfuraidan, M.A. Khamsi and K. Saleh

Abstract: In this paper, we prove the existence of periodic points of asymptotically nonexpansive mappings defined on non-convex domains in uniformly convex Banach spaces. We also introduce the notion of firmly asymptotically nonexpansive mappings and prove the existence of fixed points of such mappings with non-convex domains.

Key Words and Phrases: Asymptotically nonexpansive mapping, fixed point, periodic point.

2010 Mathematics Subject Classification: 46B20, 47E10, 47H10.

Published on-line: February 1st, 2022.

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