Best proximity points: approximation and optimization in partially ordered metric spaces

The purpose of this article is to provide the existence of a unique best proximity point for non-self-mappings by using altering distance function in the setting of partially ordered set which is endowed with a metric. Further, our result provides an extension of a result due to Harjani and Sadarang...

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Veröffentlicht in:Optimization letters 2013-12, Vol.7 (8), p.1883-1892
Hauptverfasser: Pragadeeswarar, V., Marudai, M.
Format: Artikel
Sprache:eng
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Zusammenfassung:The purpose of this article is to provide the existence of a unique best proximity point for non-self-mappings by using altering distance function in the setting of partially ordered set which is endowed with a metric. Further, our result provides an extension of a result due to Harjani and Sadarangani to the case of non-self-mappings.
ISSN:1862-4472
1862-4480
DOI:10.1007/s11590-012-0529-x