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Common Fixed Points of Weak Contractions in Cone Metric Spaces

Author

Listed:
  • Hui-Sheng Ding
  • Zoran Kadelburg
  • Erdal Karapınar
  • Stojan Radenović

Abstract

Results on common fixed points of mappings in cone metric spaces under weak contractive conditions (B. S. Choudhury and N. Metiya (2010)) are unified and generalized. Also, cone metric versions of some other related results on weak contractions are proved. Examples show that our results are different than the existing ones.

Suggested Citation

  • Hui-Sheng Ding & Zoran Kadelburg & Erdal Karapınar & Stojan Radenović, 2012. "Common Fixed Points of Weak Contractions in Cone Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-18, May.
    • Handle: RePEc:hin:jnlaaa:793862
    DOI: 10.1155/2012/793862
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    Citations

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    Cited by:

    1. Sunny Chauhan & Zoran Kadelburg & Sumitra Dalal, 2013. "A Common Fixed Point Theorem in Metric Space under General Contractive Condition," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Ing-Jer Lin & Chi-Ming Chen & Mirko Jovanović & Tzi-Huei Wu, 2012. "Fixed Points and Endpoints of Set‐Valued Contractions in Cone Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Haitham Qawaqneh & Mohd Salmi Md Noorani & Wasfi Shatanawi & Hassen Aydi & Habes Alsamir, 2019. "Fixed Point Results for Multi-Valued Contractions in b −Metric Spaces and an Application," Mathematics, MDPI, vol. 7(2), pages 1-13, February.
    4. A. Razani & V. Parvaneh, 2012. "Coupled Coincidence Point Results for (ψ, α, β)‐Weak Contractions in Partially Ordered Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    5. Nabil Mlaiki & Mohamed Hajji & Thabet Abdeljawad, 2020. "A New Extension of the Rectangular b‐Metric Spaces," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    6. Shazia Kanwal & Rehmatullah Madni & Muhammad Arshad & Muhammad Nazam & Aftab Hussain & Asim Asiri, 2025. "Exploring Fuzzy Fixed Points of γ‐Fuzzy Contractions in b‐Metric Spaces," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    7. Savita Rathee & Anshuka Kadyan & Anil Kumar & Kenan Tas, 2022. "Fixed Point Results for Cirić and Almost Contractions in Convex b -Metric Spaces," Mathematics, MDPI, vol. 10(3), pages 1-21, January.
    8. J. R. Morales & E. M. Rojas, 2012. "Some Generalizations of Jungck's Fixed Point Theorem," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-19, November.

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