A Fixed Point Theorem for Semigroups of Proximately Uniformly Lipschitzian Mappings
Hong‐Kun Xu · Canadian Mathematical Bulletin · 1991
Abstract As a generalization of Kiang and Tan's proximately nonexpansive semigroups, the notion of a proximately uniformly Lipschitzian semigroup is introduced and an existence theorem of common fixed points for such a semigroup is proved in a Banach space whose characteristic of convexity is less than one.