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Common Fixed Points for Weak ψ‐Contractive Mappings in Ordered Metric Spaces with Applications

Author

Listed:
  • Sumit Chandok
  • Simona Dinu

Abstract

We obtain some new common fixed point theorems satisfying a weak contractive condition in the framework of partially ordered metric spaces. The main result generalizes and extends some known results given by some authors in the literature.

Suggested Citation

  • Sumit Chandok & Simona Dinu, 2013. "Common Fixed Points for Weak ψ‐Contractive Mappings in Ordered Metric Spaces with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:879084
    DOI: 10.1155/2013/879084
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    References listed on IDEAS

    as
    1. Hassen Aydi & Wasfi Shatanawi & Mihai Postolache & Zead Mustafa & Nedal Tahat, 2012. "Theorems for Boyd-Wong-Type Contractions in Ordered Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-14, September.
    2. A. Branciari, 2002. "A fixed point theorem for mappings satisfying a general contractive condition of integral type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-6, January.
    3. Chi-Ming Chen, 2012. "Fixed Point Theorems for ψ‐Contractive Mappings in Ordered Metric Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    4. M. Abbas & M. Ali Khan, 2009. "Common Fixed Point Theorem of Two Mappings Satisfying a Generalized Weak Contractive Condition," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2009, pages 1-9, December.
    5. Hassen Aydi & Wasfi Shatanawi & Mihai Postolache & Zead Mustafa & Nedal Tahat, 2012. "Theorems for Boyd‐Wong‐Type Contractions in Ordered Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    6. Sumit Chandok, 2012. "Common Fixed Points, Invariant Approximation and Generalized Weak Contractions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-11, September.
    7. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
    8. Gerald Jungck, 1988. "Compatible mappings and common fixed points ( 2 )," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-4, January.
    9. Chi-Ming Chen, 2012. "Fixed Point Theorems for 𠜓 -Contractive Mappings in Ordered Metric Spaces," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-10, January.
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