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A Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered Metric Space

Author

Listed:
  • J. Harjani
  • B. López
  • K. Sadarangani

Abstract

The purpose of this paper is to present a fixed point theorem using a contractive condition of rational type in the context of partially ordered metric spaces.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnlaaa:190701
    DOI: 10.1155/2010/190701
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    Citations

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    Cited by:

    1. Kuo-Ching Jen & Ing-Jer Lin & Chi-Ming Chen, 2013. "Coincidence Points of Weaker Contractions in Partially Ordered Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. 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).
    3. Jelena Vujaković & Gajula Naveen Venkata Kishore & Konduru Pandu Ranga Rao & Stojan Radenović & Shaik Sadik, 2019. "Existence and Unique Coupled Solution in S b -Metric Spaces by Rational Contraction with Application," Mathematics, MDPI, vol. 7(4), pages 1-14, March.
    4. V. Pragadeeswarar & M. Marudai, 2015. "Best Proximity Points for Generalized Proximal Weak Contractions Satisfying Rational Expression on Ordered Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    5. M. De la Sen, 2011. "On a General Contractive Condition for Cyclic Self‐Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    6. Poom Kumam & Fayyaz Rouzkard & Mohammad Imdad & Dhananjay Gopal, 2013. "Fixed Point Theorems on Ordered Metric Spaces through a Rational Contraction," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    7. Hassen Aydi & Wasfi Shatanawi & Mihai Postolache & Zead Mustafa & Nedal Tahat, 2012. "Theorems for Boyd‐Wong‐Type Contractions in Ordered Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    8. Shujun Jiang & Zhilong Li, 2013. "Generalized Contractions of Rational Type in Ordered Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    9. Chi-Ming Chen & Jin-Chirng Lee & Chao-Hung Chen, 2013. "Fixed Point Theory of Weak Contractions in Partially Ordered Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

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