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ON Modified (α − η)‐Contractive Mappings

Author

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  • Marwan Amin Kutbi
  • Muhammad Arshad
  • Aftab Hussain

Abstract

Hussain et al. (2013) established new fixed point results in complete metric space. In this paper, we prove fixed point results of α‐admissible mappings with respect to η, for modified contractive condition in complete metric space. An example is given to show the validity of our work. Our results generalize/improve several recent and classical results existing in the literature.

Suggested Citation

  • Marwan Amin Kutbi & Muhammad Arshad & Aftab Hussain, 2014. "ON Modified (α − η)‐Contractive Mappings," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:657858
    DOI: 10.1155/2014/657858
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    References listed on IDEAS

    as
    1. 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.
    2. Erdal Karapınar & Bessem Samet, 2012. "Generalized α‐ψ Contractive Type Mappings and Related Fixed Point Theorems with Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Feng Gu & Hongqing Ye, 2012. "Common Fixed Point Theorems of Altman Integral Type Mappings in -Metric Spaces," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-13, November.
    4. B. E. Rhoades, 2003. "Two fixed-point theorems for mappings satisfying a general contractive condition of integral type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-7, January.
    5. P. Vijayaraju & B. E. Rhoades & R. Mohanraj, 2005. "A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-6, January.
    6. Feng Gu & Hongqing Ye, 2012. "Common Fixed Point Theorems of Altman Integral Type Mappings in G‐Metric Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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