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Existence and uniqueness of best proximity point for contractions of Geraghty type

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Aims and scope Submit manuscript

Abstract

The purpose of this paper is provide sufficient conditions for the existence of a unique best proximity point for contractions of Geraghty type. Our paper improves a recent result due to Caballero et al. (Fixed Point Theory and Applications. doi:10.1186/1687-1812-2012-231, 2012).

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 , Las Palmas, Spain

    A. Almeida, J. Harjani & K. Sadarangani

Authors
  1. A. Almeida
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  2. J. Harjani
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  3. K. Sadarangani
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Correspondence to K. Sadarangani.

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Almeida, A., Harjani, J. & Sadarangani, K. Existence and uniqueness of best proximity point for contractions of Geraghty type. RACSAM 108, 957–971 (2014). https://doi.org/10.1007/s13398-013-0154-2

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  • DOI: https://doi.org/10.1007/s13398-013-0154-2

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