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Common random fixed points of compatible random operators

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  • Ismat Beg
  • Mujahid Abbas

Abstract

We construct a random iteration scheme and study necessary conditions for its convergence to a common random fixed point of two pairs of compatible random operators satisfying Meir-Keeler type conditions in Polish spaces. Some random fixed point theorems for weakly compatible random operators under generalized contractive conditions in the framework of symmetric spaces are also proved.

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  • Ismat Beg & Mujahid Abbas, 2006. "Common random fixed points of compatible random operators," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-15, June.
    • Handle: RePEc:hin:jijmms:023486
    DOI: 10.1155/IJMMS/2006/23486
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