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Common Fixed Point Results for Mappings with Rational Expressions

Author

Listed:
  • M. A. Kutbi
  • Jamshaid Ahmad
  • Nawab Hussain
  • Muhammad Arshad

Abstract

We obtain some common fi xed point results for single as well as set valued mappings involving certain rational expressions in complete partial metric spaces. In the process, we generalize various results of the literature. Two examples are also included to illustrate the fact that our results cannot be obtained from the corresponding results in metric spaces.

Suggested Citation

  • M. A. Kutbi & Jamshaid Ahmad & Nawab Hussain & Muhammad Arshad, 2013. "Common Fixed Point Results for Mappings with Rational Expressions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:549518
    DOI: 10.1155/2013/549518
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    References listed on IDEAS

    as
    1. Nawab Hussain & Zoran Kadelburg & Stojan Radenović & Falleh Al-Solamy, 2012. "Comparison Functions and Fixed Point Results in Partial Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, June.
    2. Imdad, M. & Ali, Javid & Tanveer, M., 2009. "Coincidence and common fixed point theorems for nonlinear contractions in Menger PM spaces," Chaos, Solitons & Fractals, Elsevier, vol. 42(5), pages 3121-3129.
    3. Muhammad Arshad & Jamshaid Ahmad & Erdal Karapınar, 2013. "Some Common Fixed Point Results in Rectangular Metric Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-7, March.
    4. Nawab Hussain & Zoran Kadelburg & Stojan Radenović & Falleh Al-Solamy, 2012. "Comparison Functions and Fixed Point Results in Partial Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. N. Hussain & M. A. Kutbi & P. Salimi, 2013. "Best Proximity Point Results for Modified α‐ψ‐Proximal Rational Contractions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Marwan Amin Kutbi & Jamshaid Ahmad & Akbar Azam & Ahmed Saleh Al-Rawashdeh, 2014. "Generalized Common Fixed Point Results via Greatest Lower Bound Property," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    3. Dae-Woong Lee, 2013. "Algebraic Structures Based on a Classifying Space of a Compact Lie Group," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Jayshree Patil & Basel Hardan & Ahmed A. Hamoud & Amol Bachhav & Homan Emadifar & Hatira Günerhan, 2022. "Generalization Contractive Mappings on Rectangular b‐Metric Space," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    5. Jamshaid Ahmad & Chakkrid Klin-Eam & Akbar Azam, 2013. "Common Fixed Points for Multivalued Mappings in Complex Valued Metric Spaces with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    6. Seong-Hoon Cho, 2021. "Fixed Point Theorems for Set‐Valued L‐Contractions in Branciari Distance Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).

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