4 papers
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…
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…
On proximal uniform normal structure and relatively nonexpansive mappings
Abhik Digar, G. Sankara Raju Kosuru
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 rel…
Global optimization on a metric space with a graph and an application to PBVP
Abhik Digar, G. S. Raju K
In this article we introduce a new type of cyclic contraction mapping on a pair of subsets of a metric space with a graph and prove best proximity points results for the same. Also…