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Fixed Point Theorems for Various Classes of Cyclic Mappings

Author

Listed:
  • Hassen Aydi
  • Erdal Karapınar
  • Bessem Samet

Abstract

We introduce new classes of cyclic mappings and we study the existence and uniqueness of fixed points for such mappings. The presented theorems generalize and improve several existing results in the literature.

Suggested Citation

  • Hassen Aydi & Erdal Karapınar & Bessem Samet, 2012. "Fixed Point Theorems for Various Classes of Cyclic Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:867216
    DOI: 10.1155/2012/867216
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    References listed on IDEAS

    as
    1. Chiming Chen & Chingju Lin, 2012. "Best Periodic Proximity Points for Cyclic Weaker Meir-Keeler Contractions," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-7, May.
    2. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2012. "Fixed Point Results for Almost Generalized Cyclic -Weak Contractive Type Mappings with Applications," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, August.
    3. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2012. "Fixed Point Results for Almost Generalized Cyclic (ψ, φ)‐Weak Contractive Type Mappings with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Chiming Chen & Chingju Lin, 2012. "Best Periodic Proximity Points for Cyclic Weaker Meir‐Keeler Contractions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    5. Hassen Aydi & Erdal Karapinar, 2012. "A Fixed Point Result for Boyd-Wong Cyclic Contractions in Partial Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-11, July.
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    Cited by:

    1. Sahar Mohamed Ali Abou Bakr, 2021. "Cyclic G‐Ω‐Weak Contraction‐Weak Nonexpansive Mappings and Some Fixed Point Theorems in Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).
    2. Shengquan Weng & Hongying Xiao, 2025. "Related Fixed Point Results for LB3S2‐Type Cyclic Mapping in Extended b‐Metric Spaces With an Application," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).

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