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Title: Weak P-property on product spaces and related multidimensional best proximity point theorems
Authors: Almeida, Ángel 
de Hierro, Antonio Francisco Roldán López
Sadarangani, Kishin 
UNESCO Clasification: 120299 Otras (especificar)
Keywords: Best proximity point
Contractive condition
Fixed point
Weak p-property, et al
Issue Date: 2015
Journal: Journal of Nonlinear and Convex Analysis 
Abstract: In recent times, many authors proved several coupled, tripled, quadrupled and, in general, multidimensional fixed point theorems. In many cases, these results become to be simple consequences of their corresponding unidimensional theorems. In this paper, we show how the weak P-property can be induced in product spaces and how to use it to enunciate some kind of multidimensional (including coupled and tripled) best proximity (and fixed) point theorems.
ISSN: 1345-4773
Source: Journal of Nonlinear and Convex Analysis [ISSN 1345-4773], v. 16 (8), p. 1593-1606
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