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Fixed Point and Common Fixed Point Theorems for Generalized Weak Contraction Mappings of Integral Type in Modular Spaces

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  • Chirasak Mongkolkeha
  • Poom Kumam

Abstract

We prove new fixed point and common fixed point theorems for generalized weak contractive mappings of integral type in modular spaces. Our results extend and generalize the results of A. Razani and R. Moradi (2009) and M. Beygmohammadi and A. Razani (2010).

Suggested Citation

  • Chirasak Mongkolkeha & Poom Kumam, 2011. "Fixed Point and Common Fixed Point Theorems for Generalized Weak Contraction Mappings of Integral Type in Modular Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-12, June.
    • Handle: RePEc:hin:jijmms:705943
    DOI: 10.1155/2011/705943
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    References listed on IDEAS

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    1. A. Razani & E. Nabizadeh & M. Beyg Mohamadi & S. Homaei Pour, 2007. "Fixed Points of Nonlinear and Asymptotic Contractions in the Modular Space," Abstract and Applied Analysis, Hindawi, vol. 2007, pages 1-10, March.
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    1. Chirasak Mongkolkeha & Poom Kumam, 2013. "Some Fixed Point Results for Generalized Weak Contraction Mappings in Modular Spaces," International Journal of Analysis, Hindawi, vol. 2013, pages 1-6, March.

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