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Common Fixed Points of Generalized Cyclic Meir‐Keeler‐Type Contractions in Partially Ordered Metric Spaces

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Listed:
  • Chiming Chen
  • Ing-Jer Lin

Abstract

The purpose of this paper is to prove some common point theorems for the generalized cyclic Meir‐Keeler‐type (α, φ, A, B)‐contraction in partially ordered metric spaces. Our results generalize many recent common point theorems in the literature.

Suggested Citation

  • Chiming Chen & Ing-Jer Lin, 2013. "Common Fixed Points of Generalized Cyclic Meir‐Keeler‐Type Contractions in Partially Ordered Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:787342
    DOI: 10.1155/2013/787342
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    References listed on IDEAS

    as
    1. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2012. "Fixed Point Results for Almost Generalized Cyclic -Weak Contractive Type Mappings with Applications," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, August.
    2. Mohamed Jleli & Erdal Karapınar & Bessem Samet, 2012. "Fixed Point Results for Almost Generalized Cyclic (ψ, φ)‐Weak Contractive Type Mappings with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Chi-Ming Chen & Chao-Hung Chen, 2012. "Best Proximity Point Theorems for Some New Cyclic Mappings," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, July.
    4. Chiming Chen & Chingju Lin, 2012. "Best Periodic Proximity Points for Cyclic Weaker Meir‐Keeler Contractions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    5. Chi-Ming Chen & Chao-Hung Chen, 2012. "Best Proximity Point Theorems for Some New Cyclic Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    6. Chiming Chen & Chingju Lin, 2012. "Best Periodic Proximity Points for Cyclic Weaker Meir-Keeler Contractions," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-7, May.
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