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Fixed Point Results for Various α‐Admissible Contractive Mappings on Metric‐Like Spaces

Author

Listed:
  • Saleh A. Al-Mezel
  • Chi-Ming Chen
  • Erdal Karapınar
  • Vladimir Rakočević

Abstract

We establish some fixed point theorems for α‐admissible mappings in the context of metric‐like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir‐Keeler type α-ϕ‐contractive self‐mapping f defined on a metric‐like space X. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.

Suggested Citation

  • Saleh A. Al-Mezel & Chi-Ming Chen & Erdal Karapınar & Vladimir Rakočević, 2014. "Fixed Point Results for Various α‐Admissible Contractive Mappings on Metric‐Like Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:379358
    DOI: 10.1155/2014/379358
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    References listed on IDEAS

    as
    1. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2013. "Best Proximity Points for Generalized α‐ψ‐Proximal Contractive Type Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2013. "Best Proximity Points for Generalized -Proximal Contractive Type Mappings," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, May.
    Full references (including those not matched with items on IDEAS)

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