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Cyclic (ϕ)‐Contractions in Uniform Spaces and Related Fixed Point Results

Author

Listed:
  • N. Hussain
  • E. Karapınar
  • S. Sedghi
  • N. Shobkolaei
  • S. Firouzian

Abstract

First, we define cyclic (ϕ)‐contractions of different types in a uniform space. Then, we apply these concepts of cyclic (ϕ)‐contractions to establish certain fixed and common point theorems on a Hausdorff uniform space. Some more general results are obtained as corollaries. Moreover, some examples are provided to demonstrate the usability of the proved theorems.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:976859
    DOI: 10.1155/2014/976859
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    References listed on IDEAS

    as
    1. 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.
    2. Erdal Karapınar & Hemant Kumar Nashine, 2012. "Fixed Point Theorem for Cyclic Chatterjea Type Contractions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Nawab Hussain & Zoran Kadelburg & Stojan Radenović & Falleh Al-Solamy, 2012. "Comparison Functions and Fixed Point Results in Partial Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, June.
    4. Nawab Hussain & Zoran Kadelburg & Stojan Radenović & Falleh Al-Solamy, 2012. "Comparison Functions and Fixed Point Results in Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    Full references (including those not matched with items on IDEAS)

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