Condensing Mappings and Best Proximity Point Results

Condensing Mappings and Best Proximity Point Results

Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings. It is shown that relative u-continu...

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Veröffentlicht in:Journal of mathematics (Hidawi) 2021, Vol.2021, p.1-6
Hauptverfasser: Alshehri, Sarah O., Alsulami, Hamed H., Shahzad, Naseer
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Mathematics
Proximity
Theorems
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Zusammenfassung:Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings. It is shown that relative u-continuity of T is a necessary condition that cannot be omitted. Some examples are given to support our results.
ISSN:2314-4629
2314-4785
DOI:10.1155/2021/5542994