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Some Generalizations of Jungck's Fixed Point Theorem

Author

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  • J. R. Morales
  • E. M. Rojas

Abstract

We are going to generalize the Jungck's fixed point theorem for commuting mappings by mean of the concepts of altering distance functions and compatible pair of mappings, as well as, by using contractive inequalities of integral type and contractive inequalities depending on another function.

Suggested Citation

  • J. R. Morales & E. M. Rojas, 2012. "Some Generalizations of Jungck's Fixed Point Theorem," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-19, November.
    • Handle: RePEc:hin:jijmms:213876
    DOI: 10.1155/2012/213876
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    References listed on IDEAS

    as
    1. Hui-Sheng Ding & Zoran Kadelburg & Erdal Karapınar & Stojan Radenović, 2012. "Common Fixed Points of Weak Contractions in Cone Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. Hui-Sheng Ding & Zoran Kadelburg & Erdal Karapınar & Stojan Radenović, 2012. "Common Fixed Points of Weak Contractions in Cone Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, May.
    3. A. Branciari, 2002. "A fixed point theorem for mappings satisfying a general contractive condition of integral type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-6, January.
    4. P. Vijayaraju & B. E. Rhoades & R. Mohanraj, 2005. "A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-6, January.
    5. Maryam Beygmohammadi & Abdolrahman Razani, 2010. "Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2010, pages 1-10, December.
    6. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
    7. B. E. Rhoades, 2003. "Two fixed-point theorems for mappings satisfying a general contractive condition of integral type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-7, January.
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    Cited by:

    1. J. R. Morales & E. M. Rojas & Ravindra K. Bisht, 2014. "Common Fixed Points for Pairs of Mappings with Variable Contractive Parameters," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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