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Fixed Point Results for Various -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 -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 -contractive self-mapping defined on a metric-like space . 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 -Admissible Contractive Mappings on Metric-Like Spaces," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-15, May.
    • Handle: RePEc:hin:jnlaaa:379358
    DOI: 10.1155/2014/379358
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    Cited by:

    1. Badr Alqahtani & Andreea Fulga & Erdal Karapınar & Panda Sumati Kumari, 2019. "Sehgal Type Contractions on Dislocated Spaces," Mathematics, MDPI, vol. 7(2), pages 1-16, February.
    2. Erdal Karapınar & Ravi P. Agarwal & Seher Sultan Yeşilkaya & Chao Wang, 2022. "Fixed-Point Results for Meir–Keeler Type Contractions in Partial Metric Spaces: A Survey," Mathematics, MDPI, vol. 10(17), pages 1-76, August.
    3. Badr Alqahtani & Andreea Fulga & Erdal Karapınar, 2018. "Fixed Point Results on Δ-Symmetric Quasi-Metric Space via Simulation Function with an Application to Ulam Stability," Mathematics, MDPI, vol. 6(10), pages 1-19, October.

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