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math.FA2022
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…
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…