A Characterization of Weak Proximal Normal Structure and Best Proximity Pairs

Autor:	Digar, Abhik, García, Rafael Espínola, Kosuru, G. Sankara Raju
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis 46E15 47H10 54H25
Druh dokumentu:	Working Paper
Popis:	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)}}, (2018) 461--476]. We give a characterization of weak proximal normal structure using best proximity pair property. We also introduce a notion of pointwise cyclic contraction wrt orbits and therein prove the existence of a best proximity pair in the setting of reflexive Banach spaces.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.10767 Zobrazit plný text záznamu View this record from Arxiv