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Best proximity points of non-self mappings

TOP volume 21, pages 287–295 (2013)Cite this article

Abstract

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 x∈A ∥x−Tx∥.

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Authors and Affiliations

  1. Department of Mathematics, Imam Khomeini International University, Qazvin, 34149, Iran

    Ali Abkar & Moosa Gabeleh

Authors
  1. Ali Abkar
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  2. Moosa Gabeleh
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Correspondence to Moosa Gabeleh.

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Abkar, A., Gabeleh, M. Best proximity points of non-self mappings. TOP 21, 287–295 (2013). https://doi.org/10.1007/s11750-012-0255-7

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  • DOI: https://doi.org/10.1007/s11750-012-0255-7

Keywords

  • Contraction mapping
  • Nonexpansive mapping
  • Best proximity point
  • Fixed point

Mathematics Subject Classification

  • 47H10
  • 47H09