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On Some Generalizations of Commuting Mappings

Author

Listed:
  • Mohammad Ali Alghamdi
  • Stojan Radenović
  • Naseer Shahzad

Abstract

It is shown that occasionally đ’„â„‹ operators as well as occasionally weakly biased mappings reduce to weakly compatible mappings in the presence of a unique point of coincidence (and a unique common fixed point) of the given maps.

Suggested Citation

  • Mohammad Ali Alghamdi & Stojan Radenović & Naseer Shahzad, 2012. "On Some Generalizations of Commuting Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:952052
    DOI: 10.1155/2012/952052
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    References listed on IDEAS

    as
    1. Cristina Di Bari & Calogero Vetro, 2008. "Common Fixed Point Theorems for Weakly Compatible Maps Satisfying a General Contractive Condition," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2008, pages 1-8, October.
    2. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
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    Cited by:

    1. Sunny Chauhan & Zoran Kadelburg & Sumitra Dalal, 2013. "A Common Fixed Point Theorem in Metric Space under General Contractive Condition," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. A. Razani & B. Moeini, 2014. "đ’„â„‹â€Operator Pairs with Application to Functional Equations Arising in Dynamic Programming," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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