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Best Proximity Point Results in Non-Archimedean Modular Metric Space

Author

Listed:
  • Mohadeshe Paknazar

    (Department of Mathematics, Farhangian University, Iran)

  • Manuel De la Sen

    (IIDP, University of Basque Country, Bilbao-48940, Spain)

Abstract

In this paper, we introduce the new notion of Suzuki-type ( α , β , θ , γ ) -contractive mapping and investigate the existence and uniqueness of the best proximity point for such mappings in non-Archimedean modular metric space using the weak P λ -property. Meanwhile, we present an illustrative example to emphasize the realized improvements. These obtained results extend and improve certain well-known results in the literature.

Suggested Citation

  • Mohadeshe Paknazar & Manuel De la Sen, 2017. "Best Proximity Point Results in Non-Archimedean Modular Metric Space," Mathematics, MDPI, vol. 5(2), pages 1-20, April.
    • Handle: RePEc:gam:jmathe:v:5:y:2017:i:2:p:23-:d:95026
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    References listed on IDEAS

    as
    1. Maryam A. Alghamdi & Naseer Shahzad & Francesca Vetro, 2013. "Best Proximity Points for Some Classes of Proximal Contractions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-10, September.
    2. Ravi P. Agarwal & Nawab Hussain & Mohamed-Aziz Taoudi, 2012. "Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, July.
    Full references (including those not matched with items on IDEAS)

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