Best proximity points of non-self mappings

Let A,B be nonempty subsets of a Banach space X and let T:A→B be a non-self mapping. Under appropriate conditions, we study the existence of solutions for the minimization problem min<Subscript> x∈A </Subscript>∥x−Tx∥. Copyright Sociedad de Estadística e Investigación Operativa 2013

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Year of publication:	2013
Authors:	Abkar, Ali ; Gabeleh, Moosa
Published in:	TOP: An Official Journal of the Spanish Society of Statistics and Operations Research. - Springer. - Vol. 21.2013, 2, p. 287-295
Publisher:	Springer
Subject:	Contraction mapping \| Nonexpansive mapping \| Best proximity point \| Fixed point

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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