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Fixed Point Theorems for ψ‐Contractive Mappings in Ordered Metric Spaces

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  • Chi-Ming Chen

Abstract

We obtain some new fixed point theorems for ψ‐contractive mappings in ordered metric spaces. Our results generalize or improve many recent fixed point theorems in the literature (e.g., Harjani et al., 2011 and 2010).

Suggested Citation

  • Chi-Ming Chen, 2012. "Fixed Point Theorems for ψ‐Contractive Mappings in Ordered Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:756453
    DOI: 10.1155/2012/756453
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    References listed on IDEAS

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    1. J. Harjani & B. López & K. Sadarangani, 2010. "A Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered Metric Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    2. J. Harjani & B. López & K. Sadarangani, 2010. "A Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered Metric Space," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-8, September.
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    Cited by:

    1. Marwan Amin Kutbi & Jamshaid Ahmad & Akbar Azam, 2013. "On Fixed Points of α‐ψ‐Contractive Multivalued Mappings in Cone Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Sumit Chandok & Simona Dinu, 2013. "Common Fixed Points for Weak ψ‐Contractive Mappings in Ordered Metric Spaces with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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