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Quadruple Fixed Point Theorems under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces

Author

Listed:
  • Erdal Karapınar
  • Wasfi Shatanawi
  • Zead Mustafa

Abstract

We prove a number of quadruple fixed point theorems under ϕ‐contractive conditions for a mapping F : X4 → X in ordered metric spaces. Also, we introduce an example to illustrate the effectiveness of our results.

Suggested Citation

  • Erdal Karapınar & Wasfi Shatanawi & Zead Mustafa, 2012. "Quadruple Fixed Point Theorems under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:951912
    DOI: 10.1155/2012/951912
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    References listed on IDEAS

    as
    1. Wutiphol Sintunavarat & Yeol Je Cho & Poom Kumam, 2012. "Coupled Fixed Point Theorems for Weak Contraction Mappings under -Invariant Set," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, May.
    2. Zorana Golubović & Zoran Kadelburg & Stojan Radenović, 2012. "Coupled Coincidence Points of Mappings in Ordered Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Mujahid Abbas & Hassen Aydi & Erdal Karapınar, 2011. "Tripled Fixed Points of Multivalued Nonlinear Contraction Mappings in Partially Ordered Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    4. Mujahid Abbas & Hassen Aydi & Erdal Karapınar, 2011. "Tripled Fixed Points of Multivalued Nonlinear Contraction Mappings in Partially Ordered Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-12, December.
    5. Zorana Golubović & Zoran Kadelburg & Stojan Radenović, 2012. "Coupled Coincidence Points of Mappings in Ordered Partial Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, March.
    6. Wutiphol Sintunavarat & Yeol Je Cho & Poom Kumam, 2012. "Coupled Fixed Point Theorems for Weak Contraction Mappings under F‐Invariant Set," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    Full references (including those not matched with items on IDEAS)

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