On proximal uniform normal structure and relatively nonexpansive mappings
Functional Analysis
2022-06-30 v1
Abstract
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.
Cite
@article{arxiv.2206.14457,
title = {On proximal uniform normal structure and relatively nonexpansive mappings},
author = {Abhik Digar and G. Sankara Raju Kosuru},
journal= {arXiv preprint arXiv:2206.14457},
year = {2022}
}