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Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered -Metric Space

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  • K. Chakrabarti

Abstract

Coupled fixed point theorems for a map satisfying mixed monotone property and a nonlinear, rational type contractive condition are established in a partially ordered -metric space. The conditions for uniqueness of the coupled fixed point are discussed. We also present results for the existence of coupled coincidence points of two maps.

Suggested Citation

  • K. Chakrabarti, 2014. "Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered -Metric Space," Journal of Mathematics, Hindawi, vol. 2014, pages 1-7, September.
    • Handle: RePEc:hin:jjmath:785357
    DOI: 10.1155/2014/785357
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    References listed on IDEAS

    as
    1. Marwan Amin Kutbi & Nawab Hussain & Jamal Rezaei Roshan & Vahid Parvaneh, 2014. "Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-18, May.
    2. Chi-Ming Chen, 2012. "Common Fixed-Point Theorems in Complete Generalized Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, May.
    3. 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).
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