论文标题
在近端均匀的正常结构上,相对不占用映射
On proximal uniform normal structure and relatively nonexpansive mappings
论文作者
论文摘要
本文的主要目的是为[Eldred,A。Anthony,Kirk,W。A.,Veeramani,P。,近端正常结构和相对非二手映射提供一种替代方法。我们还提供严格凸出空间的特征。最后,讨论了在Banach空间中存在非空的近端子对的足够条件。
The main objective of this article is to provide an alternative approach to the central result of [Eldred, A. Anthony, Kirk, W. A., Veeramani, P., Proximal normal structure and relatively nonexpansive mappings, Studia Math., vol 171(3), (2005) 283-293] using proximal uniform normal structure. Also we provide characterizations of a strictly convex space. Finally, sufficient conditions for the existence of a non-empty proximal sub-pair for a pair in a Banach space are discussed.