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An approach to best proximity points results via simulation functions

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Abstract

In this paper, we investigate of the existence of the best proximity points of certain mapping defined via simulation functions in the frame of complete metric spaces. We consider the uniqueness criteria for such mappings. The obtained results unify a number of the existing results on the topic in the literature.

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Authors and Affiliations

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

    Erdal Karapınar

  2. NAAM Research Group, King Abdulaziz University, Jeddah, Saudi Arabia

    Erdal Karapınar

  3. Young Researcher and Elite Club, Arak-Branch Islamic Azad University, Arak, Iran

    Farshid Khojasteh

Authors
  1. Erdal Karapınar
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  2. Farshid Khojasteh
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Correspondence to Erdal Karapınar.

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Karapınar, E., Khojasteh, F. An approach to best proximity points results via simulation functions. J. Fixed Point Theory Appl. 19, 1983–1995 (2017). https://doi.org/10.1007/s11784-016-0380-2

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  • DOI: https://doi.org/10.1007/s11784-016-0380-2

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