2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71115In this short paper, we prove fixed point theorems for nonexpansive mappings whose domains are unbounded subsets of Banach spaces. These theorems are generalizations of Penot's result in [Proc. Amer. Math. Soc., 131 (2003), 2371--2377].7 pagesFunctional Analysis47H09Fixed point theorems for asymptotically contractive mappingstext