Abstract
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.
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Pragadeeswarar, V., Marudai, M. Best proximity points: approximation and optimization in partially ordered metric spaces. Optim Lett 7, 1883–1892 (2013). https://doi.org/10.1007/s11590-012-0529-x
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DOI: https://doi.org/10.1007/s11590-012-0529-x