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Fixed Point Results for Almost Generalized Cyclic (ψ, φ)‐Weak Contractive Type Mappings with Applications

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  • Mohamed Jleli
  • Erdal Karapınar
  • Bessem Samet

Abstract

We define a class of almost generalized cyclic (ψ, ϕ)‐weak contractive mappings and discuss the existence and uniqueness of fixed points for such mappings. We present some examples to illustrate our results. Moreover, we state some applications of our main results in nonlinear integral equations.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:917831
    DOI: 10.1155/2012/917831
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    References listed on IDEAS

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    1. Y. J. Cho & P. P. Murthy & G. Jungck, 1993. "A common fixed point theorem of Meir and Keeler type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 16, pages 1-6, January.
    2. Y. J. Cho & P. P. Murthy & G. Jungck, 2000. "A theorem of Meir-Keeler type revisited," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 23, pages 1-5, January.
    3. Gerald Jungck, 1988. "Compatible mappings and common fixed points ( 2 )," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 11, pages 1-4, January.
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    Cited by:

    1. Hassen Aydi & Erdal Karapınar & Bessem Samet, 2012. "Fixed Point Theorems for Various Classes of Cyclic Mappings," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. Erdal Karapınar & V. Pragadeeswarar & M. Marudai, 2014. "Best Proximity Point for Generalized Proximal Weak Contractions in Complete Metric Space," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    3. Savita Rathee & Anil Kumar & Kenan Tas, 2014. "Invariant Approximation Results via Common Fixed Point Theorems for Generalized Weak Contraction Maps," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. 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).

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    1. 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).

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