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Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi‐Metric Spaces

Author

Listed:
  • Chi-Ming Chen
  • Erdal Karapınar
  • Vladimir Rakočević

Abstract

We introduce the notions of (α − ϕ − ψ)‐weaker Meir‐Keeler contractive mappings and (α − φ)‐stronger Meir‐Keeler contractive mappings. We discuss the existence of periodic points in the setting of generalized quasi‐metric spaces. Our results improve, extend, and generalize several results in the literature.

Suggested Citation

  • Chi-Ming Chen & Erdal Karapınar & Vladimir Rakočević, 2014. "Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi‐Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:353765
    DOI: 10.1155/2014/353765
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    References listed on IDEAS

    as
    1. Tomonari Suzuki, 2014. "Generalized Metric Spaces Do Not Have the Compatible Topology," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Tomonari Suzuki, 2014. "Generalized Metric Spaces Do Not Have the Compatible Topology," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-5, August.
    3. Ing-Jer Lin & Chi-Ming Chen & Erdal Karapınar, 2014. "Periodic Points of Weaker Meir‐Keeler Contractive Mappings on Generalized Quasimetric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Ing-Jer Lin & Chi-Ming Chen & Erdal Karapınar, 2014. "Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, July.
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    Cited by:

    1. M. De la Sen, 2016. "On Weak Contractive Cyclic Maps in Generalized Metric Spaces and Some Related Results on Best Proximity Points and Fixed Points," Discrete Dynamics in Nature and Society, John Wiley & Sons, vol. 2016(1).

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