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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…
math.FA2022
A Characterization of Weak Proximal Normal Structure and Best Proximity Pairs
Abhik Digar, Rafael Espínola García, G. Sankara Raju Kosuru
The aim of this paper is to address an open problem given in [Kirk, W. A., Shahzad, Naseer, Normal structure and orbital fixed point conditions, J. Math. Anal. Appl. {\bf{vol 463(2…