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Fixed Point Theorem for Cyclic Chatterjea Type Contractions

Author

Listed:
  • Erdal Karapınar
  • Hemant Kumar Nashine

Abstract

We introduce the notion of cyclic weakly Chatterjea type contraction and generalized cyclic weakly Chatterjea type contraction in metric spaces. We discussed the existence of fixed point theorems of (generalized) cyclic weakly Chatterjea type contraction mappings in the context of complete metric spaces. Our main theorems extend and improve some fixed point theorems in the literature.

Suggested Citation

  • Erdal Karapınar & Hemant Kumar Nashine, 2012. "Fixed Point Theorem for Cyclic Chatterjea Type Contractions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:165698
    DOI: 10.1155/2012/165698
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    Cited by:

    1. N. Hussain & E. Karapınar & S. Sedghi & N. Shobkolaei & S. Firouzian, 2014. "Cyclic (ϕ)‐Contractions in Uniform Spaces and Related Fixed Point Results," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. E. Karapınar & A. Yıldız-Ulus & İ. M. Erhan, 2012. "Cyclic Contractions on G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. 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).
    4. M. De la Sen & E. Karapinar, 2013. "Best Proximity Points of Generalized Semicyclic Impulsive Self‐Mappings: Applications to Impulsive Differential and Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    5. M. De la Sen, 2013. "Some Results on Fixed and Best Proximity Points of Multivalued Cyclic Self‐Mappings with a Partial Order," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Sahar Mohamed Ali Abou Bakr, 2020. "A Study on Common Fixed Point of Joint (A; B) Generalized Cyclic ϕ − abc Weak Nonexpansive Mappings and Generalized Cyclic abc; r Contractions in Quasi Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2020(1).

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