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Best proximity point results in dislocated metric spaces via R-functions

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

Abstract

In this paper, we investigate the existence of best proximity of R-contractions in the frame of dislocated metric spaces. We also propose some conditions to guarantee the uniqueness of best proximity point for such contractions. We consider an illustrative example to support the given results. This result generalizes a number of recent results on the topic in the literature.

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Authors and Affiliations

  1. Young Researchers and Elite Club, Roudehen Branch, Islamic Azad University, Roudehen, Iran

    Leila Gholizadeh

  2. Department of Mathematics, Atilim University, İncek, 06836, Ankara, Turkey

    Erdal Karapınar

  3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, King Abdulaziz University, Jeddah, 21589, Saudi Arabia

    Erdal Karapınar

Authors
  1. Leila Gholizadeh
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  2. Erdal Karapınar
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Correspondence to Erdal Karapınar.

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Gholizadeh, L., Karapınar, E. Best proximity point results in dislocated metric spaces via R-functions. RACSAM 112, 1391–1407 (2018). https://doi.org/10.1007/s13398-017-0431-6

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  • DOI: https://doi.org/10.1007/s13398-017-0431-6

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