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Coupled coincidence point results on generalized distance in ordered cone metric spaces

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Abstract

In this paper, we establish some coupled coincidence point results in the setting of partially ordered cone metric spaces via \(c\)-distance. We also proved some related coupled common fixed point theorems for such mappings. Our results generalize, extend, and unify several well-known comparable results in the literature regarding this topic. We present some examples to illustrate the concepts and results.

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Authors and Affiliations

  1. Department of mathematics, College of Education, Jubail Dammam University, Jubail, Saudi Arabia

    Hassen Aydi

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

    Erdal Karapınar

  3. Department of Mathematics, The Hashemite University, P.O. 330127, Zarqa, 13115, Jordan

    Zead Mustafa

Authors
  1. Hassen Aydi
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  2. Erdal Karapınar
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  3. Zead Mustafa
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Correspondence to Hassen Aydi.

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Aydi, H., Karapınar, E. & Mustafa, Z. Coupled coincidence point results on generalized distance in ordered cone metric spaces. Positivity 17, 979–993 (2013). https://doi.org/10.1007/s11117-012-0216-2

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  • DOI: https://doi.org/10.1007/s11117-012-0216-2

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