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Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property

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  • E. Karapınar
  • D. K. Patel
  • M. Imdad
  • D. Gopal

Abstract

We introduce a new class of mappings satisfying the “common limit range property” in symmetric spaces and utilize the same to establish common fixed point theorems for such mappings in symmetric spaces. Our results generalize and improve some recent results contained in the literature of metric fixed point theory. Some illustrative examples to highlight the realized improvements are also furnished.

Suggested Citation

  • E. Karapınar & D. K. Patel & M. Imdad & D. Gopal, 2013. "Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-8, February.
    • Handle: RePEc:hin:jijmms:753965
    DOI: 10.1155/2013/753965
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    References listed on IDEAS

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    1. Yicheng Liu & Jun Wu & Zhixiang Li, 2005. "Common fixed points of single-valued and multivalued maps," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-11, January.
    2. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
    3. Wutiphol Sintunavarat & Poom Kumam, 2011. "Common Fixed Point Theorems for a Pair of Weakly Compatible Mappings in Fuzzy Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-14, August.
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    Cited by:

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    2. Pradip Patle & Deepesh Patel & Hassen Aydi & Stojan Radenović, 2019. "ON H + Type Multivalued Contractions and Applications in Symmetric and Probabilistic Spaces," Mathematics, MDPI, vol. 7(2), pages 1-16, February.

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