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Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces

Author

Listed:
  • Binayak S. Choudhury
  • Erdal Karapınar
  • Amaresh Kundu

Abstract

Tripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by Berinde and Borcut, 2011. Here using a separate methodology we extend this result to a triple coincidence point theorem in partially ordered metric spaces. We have defined several concepts pertaining to our results. The main results have several corollaries and an illustrative example. The example shows that the extension proved here is actual and also the main theorem properly contains all its corollaries.

Suggested Citation

  • Binayak S. Choudhury & Erdal Karapınar & Amaresh Kundu, 2012. "Tripled Coincidence Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-14, July.
    • Handle: RePEc:hin:jijmms:329298
    DOI: 10.1155/2012/329298
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    References listed on IDEAS

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    1. Hassen Aydi, 2011. "Some Coupled Fixed Point Results on Partial Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-11, May.
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    Cited by:

    1. Hasanen A. Hammad & Manuel De la Sen, 2022. "Application to Lipschitzian and Integral Systems via a Quadruple Coincidence Point in Fuzzy Metric Spaces," Mathematics, MDPI, vol. 10(11), pages 1-16, June.
    2. Hasanen A. Hammad & Manuel De la Sen, 2021. "Exciting Fixed Point Results under a New Control Function with Supportive Application in Fuzzy Cone Metric Spaces," Mathematics, MDPI, vol. 9(18), pages 1-23, September.

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