A characterization of weak proximal normal structure and best proximity pairs

dc.contributor.author	Digar, A.
dc.contributor.author	Garcla, R.E.
dc.contributor.author	Kosuru, G.S.R.
dc.date.accessioned	2022-05-31T00:09:04Z
dc.date.available	2022-05-31T00:09:04Z
dc.date.issued	2022-05-31
dc.identifier.uri	http://localhost:8080/xmlui/handle/123456789/3450
dc.description.abstract	The aim of this paper is to address an open problem given in [Kirk et al. in J Math Anal Appl 463:461–476, (2018)]. 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.	en_US
dc.language.iso	en_US	en_US
dc.subject	Best proximity pairs	en_US
dc.subject	Proximal normal structure	en_US
dc.subject	Relatively nonexpansive mapping	en_US
dc.subject	Relatively orbital nonexpansive	en_US
dc.title	A characterization of weak proximal normal structure and best proximity pairs	en_US
dc.type	Article	en_US