On directionally nonexpansive mappings
Enrique Llorens-Fuster · Research Square · 2024
Abstract In 2000, W.A. Kirk introduced the concept of directionally nonexpansive mapping. Here, we present a more comprehensive study of this class of mappings, including a fixed-point result for them. We further present a class of mappings, properly containing the directionally nonexpansive ones, for which Kirk's theorem still holds.