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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, Hindawi, vol. 2012, pages 1-15, October.
    • Handle: RePEc:hin:jnljam:867216
    DOI: 10.1155/2012/867216
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    Cited by:

    1. Reny George & Ekta Tamrakar & Jelena Vujaković & Hemant Kumar Pathak & Selvavinayagam Velusamy, 2019. "( C , Ψ * , G ) Class of Contractions and Fixed Points in a Metric Space Endowed with a Graph," Mathematics, MDPI, vol. 7(5), pages 1-19, May.
    2. Nabil Mlaiki & Neboǰša Dedovic & Hassen Aydi & Milanka Gardašević-Filipović & Bandar Bin-Mohsin & Stojan Radenović, 2019. "Some New Observations on Geraghty and Ćirić Type Results in b -Metric Spaces," Mathematics, MDPI, vol. 7(7), pages 1-11, July.
    3. Quanita Kiran & Nayab Alamgir & Nabil Mlaiki & Hassen Aydi, 2019. "On Some New Fixed Point Results in Complete Extended b -Metric Spaces," Mathematics, MDPI, vol. 7(5), pages 1-17, May.

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