A characterization of weak proximal normal structure and best proximity pairs
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...
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| Veröffentlicht in: | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Físicas y Naturales. Serie A, Matemáticas, 2022-04, Vol.116 (2), Article 80 |
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| container_title | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas |
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| creator | Digar, Abhik García, Rafael Espínola Kosuru, G. Sankara Raju |
| description | 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. |
| doi_str_mv | 10.1007/s13398-022-01217-5 |
| format | Article |
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| ispartof | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas, 2022-04, Vol.116 (2), Article 80 |
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| language | eng |
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| source | SpringerLink Journals - AutoHoldings |
| subjects | Applications of Mathematics Banach spaces Mathematical and Computational Physics Mathematics Mathematics and Statistics Original Paper Proximity Theoretical |
| title | A characterization of weak proximal normal structure and best proximity pairs |
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