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Convergence of iterative algorithms to common random fixed points of random operators

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  • Ismat Beg
  • Mujahid Abbas

Abstract

We prove the existence of a common random fixed point of two asymptotically nonexpansive random operators through strong and weak convergences of an iterative process. The necessary and sufficient condition for the convergence of sequence of measurable functions to a random fixed point of asymptotically quasi-nonexpansive random operators in uniformly convex Banach spaces is also established.

Suggested Citation

  • Ismat Beg & Mujahid Abbas, 2006. "Convergence of iterative algorithms to common random fixed points of random operators," International Journal of Stochastic Analysis, Hindawi, vol. 2006, pages 1-16, September.
    • Handle: RePEc:hin:jnijsa:089213
    DOI: 10.1155/JAMSA/2006/89213
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