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Fixed Point Theorem for Cyclic Chatterjea Type Contractions

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  • 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, Hindawi, vol. 2012, pages 1-15, August.
    • Handle: RePEc:hin:jnljam:165698
    DOI: 10.1155/2012/165698
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    Cited by:

    1. Hemant Kumar Nashine & Zoran Kadelburg, 2013. "Cyclic Contractions and Fixed Point Results via Control Functions on Partial Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-9, February.

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