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Fixed Point Theory of Weak Contractions in Partially Ordered Metric Spaces

Author

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  • Chi-Ming Chen
  • Jin-Chirng Lee
  • Chao-Hung Chen

Abstract

We prove two new fixed point theorems in the framework of partially ordered metric spaces. Our results generalize and improve many recent fixed point theorems in the literature.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:302438
    DOI: 10.1155/2013/302438
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    References listed on IDEAS

    as
    1. M. Eshaghi Gordji & Y. J. Cho & S. Ghods & M. Ghods & M. Hadian Dehkordi, 2012. "Coupled Fixed-Point Theorems for Contractions in Partially Ordered Metric Spaces and Applications," Mathematical Problems in Engineering, Hindawi, vol. 2012, pages 1-20, March.
    2. Wei-Shih Du & Shao-Xuan Zheng, 2012. "New Nonlinear Conditions and Inequalities for the Existence of Coincidence Points and Fixed Points," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-12, August.
    3. Wei-Shih Du & Shao-Xuan Zheng, 2012. "New Nonlinear Conditions and Inequalities for the Existence of Coincidence Points and Fixed Points," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. 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).
    5. Erdal Karapınar & I. Savas Yuce, 2012. "Fixed Point Theory for Cyclic Generalized Weak ϕ‐Contraction on Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    6. 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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