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arXiv · 2206.14457

On proximal uniform normal structure and relatively nonexpansive mappings

Abhik Digar·G. Sankara Raju Kosuru
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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.

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Abhik Digar, G. Sankara Raju Kosuru. 2022-06-29. On proximal uniform normal structure and relatively nonexpansive mappings. https://arxiv.org/abs/2206.14457

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