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math.FA2023
Best approximations in metric spaces with property strongly UC
Abhik Digar
In this article, we introduce a geometrical notion, property strongly UC which is stronger than property UC and prove the existence of best approximations for a new class of almost…
math.FA2023
Characterizations of strictly convex spaces and proximal uniform normal structure
Abhik Digar, G. Sankara Raju Kosuru
We provide a few characterizations of a strictly convex Banach space. Using this we improve the main theorem of [Digar, Abhik; Kosuru, G. Sankara Raju; Cyclic uniform Lipschitzian…