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General Common Fixed Point Theorems and Applications

Author

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  • Shyam Lal Singh
  • Swami Nath Mishra
  • Renu Chugh
  • Raj Kamal

Abstract

The main result is a common fixed point theorem for a pair of multivalued maps on a complete metric space extending a recent result of Ä orić and Lazović (2011) for a multivalued map on a metric space satisfying Ćirić-Suzuki-type-generalized contraction. Further, as a special case, we obtain a generalization of an important common fixed point theorem of Ćirić (1974). Existence of a common solution for a class of functional equations arising in dynamic programming is also discussed.

Suggested Citation

  • Shyam Lal Singh & Swami Nath Mishra & Renu Chugh & Raj Kamal, 2012. "General Common Fixed Point Theorems and Applications," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, February.
    • Handle: RePEc:hin:jnljam:902312
    DOI: 10.1155/2012/902312
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    Cited by:

    1. Quanita Kiran & Nayab Alamgir & Nabil Mlaiki & Hassen Aydi, 2019. "On Some New Fixed Point Results in Complete Extended b -Metric Spaces," Mathematics, MDPI, vol. 7(5), pages 1-17, May.

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