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Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces

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  • Hemant Kumar Nashine
  • Hassen Aydi

Abstract

Coincidence point and common fixed point results with the concept of generalized altering distance functions in complete ordered metric spaces are derived. These results generalize the existing fixed point results in the literature. To illustrate our results and to distinguish them from the existing ones, we equip the paper with examples. As an application, we study the existence of a common solution to a system of integral equations.

Suggested Citation

  • Hemant Kumar Nashine & Hassen Aydi, 2012. "Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-23, July.
    • Handle: RePEc:hin:jijmms:736367
    DOI: 10.1155/2012/736367
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    References listed on IDEAS

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    1. 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.
    2. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
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