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The Study of Fixed Point Theory for Various Multivalued Non‐Self‐Maps

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  • Wei-Shih Du
  • Erdal Karapınar
  • Naseer Shahzad

Abstract

The basic motivation of this paper is to extend, generalize, and improve several fundamental results on the existence (and uniqueness) of coincidence points and fixed points for well‐known maps in the literature such as Kannan type, Chatterjea type, Mizoguchi‐Takahashi type, Berinde‐Berinde type, Du type, and other types from the class of self‐maps to the class of non‐self‐maps in the framework of the metric fixed point theory. We establish some fixed/coincidence point theorems for multivalued non‐self‐maps in the context of complete metric spaces.

Suggested Citation

  • Wei-Shih Du & Erdal Karapınar & Naseer Shahzad, 2013. "The Study of Fixed Point Theory for Various Multivalued Non‐Self‐Maps," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:938724
    DOI: 10.1155/2013/938724
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    References listed on IDEAS

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    1. Wei-Shih Du, 2012. "On Approximate Coincidence Point Properties and Their Applications to Fixed Point Theory," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-17, May.
    2. Wei-Shih Du, 2012. "On Approximate Coincidence Point Properties and Their Applications to Fixed Point Theory," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Wei-Shih Du, 2013. "New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Wei-Shih Du, 2013. "New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, February.
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    Cited by:

    1. Weng-Seng Heng & Wei-Shih Du & Chi-Lin Yen, 2014. "New Existence Results for Fixed Point Problem and Minimization Problem in Compact Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Wei-Shih Du & Farshid Khojasteh, 2014. "New Results and Generalizations for Approximate Fixed Point Property and Their Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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