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http://dspace.iitrpr.ac.in:8080/xmlui/handle/123456789/3450| Title: | A characterization of weak proximal normal structure and best proximity pairs |
| Authors: | Digar, A. Garcla, R.E. Kosuru, G.S.R. |
| Keywords: | Best proximity pairs Proximal normal structure Relatively nonexpansive mapping Relatively orbital nonexpansive |
| Issue Date: | 31-May-2022 |
| 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. |
| URI: | http://localhost:8080/xmlui/handle/123456789/3450 |
| Appears in Collections: | Year-2022 |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Full Text.pdf | 233.77 kB | Adobe PDF | View/Open Request a copy |
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