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Common fixed points of single-valued and multivalued maps

Author

Listed:
  • Yicheng Liu
  • Jun Wu
  • Zhixiang Li

Abstract

We define a new property which contains the property (EA) for a hybrid pair of single- and multivalued maps and give some new common fixed point theorems under hybrid contractive conditions. Our results extend previous ones. As an application, we give a partial answer to the problem raised by Singh and Mishra.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jijmms:593409
    DOI: 10.1155/IJMMS.2005.3045
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    Cited by:

    1. Sunny Chauhan & M. Alamgir Khan & Wutiphol Sintunavarat, 2013. "Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying ϕ‐Contractive Condition with Common Limit Range Property," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Marwan Amin Kutbi & Mohammad Imdad & Sunny Chauhan & Wutiphol Sintunavarat, 2014. "Some Integral Type Fixed Point Theorems for Non‐Self‐Mappings Satisfying Generalized (ψ, φ)‐Weak Contractive Conditions in Symmetric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. Mohammad Imdad & Sunny Chauhan & Sumitra Dalal, 2013. "Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Mohammad Imdad & Sunny Chauhan, 2013. "Employing Common Limit Range Property to Prove Unified Metrical Common Fixed Point Theorems," International Journal of Analysis, Hindawi, vol. 2013, pages 1-10, May.
    5. Aunyarat Bunyawat & Suthep Suantai, 2012. "Convergence Theorems for Infinite Family of Multivalued Quasi‐Nonexpansive Mappings in Uniformly Convex Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    6. 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.

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