Strong convergence results for random Jungck­Ishikawa and Jungck­Noor iterative schemes in Banach spaces

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  • Rashwan Ahmed Rashwan1,
  • Hasanen Abuelmagd Hammad2,
  1. Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt.
  2. Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt.

Published in Issue 2025-11-09

How to Cite

Strong convergence results for random Jungck­Ishikawa and Jungck­Noor iterative schemes in Banach spaces. (2025). Communications in Nonlinear Analysis, 4(2). https://oiccpress.com/cna/article/view/17904

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Abstract

In this paper, we introduce a new random Jungck-Ishikawa and Jungck-Noor iterative schemes anddiscuss the strong convergence of them to a unique common random fixed point for two nonself randommappings under a general contractive condition in separable Banach spaces. Our results generalize andextend many results in this direction.

Keywords

  • random Jungck-Ishikawa iteration,
  • random Jungck-Noor iteration,
  • separable Banach spaces,
  • monotone increasing function
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