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Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space

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  • Kenza Benkirane
  • Abderrahim EL Adraoui
  • El Miloudi Marhrani
  • Nawab Hussain

Abstract

The aim of this paper is to prove a common random fixed-point and some random fixed-point theorems for random weakly contractive operators in separable Banach spaces. A random Mann iterative process is introduced to approximate the fixed point. Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a solution of a nonlinear stochastic integral equation system.

Suggested Citation

  • Kenza Benkirane & Abderrahim EL Adraoui & El Miloudi Marhrani & Nawab Hussain, 2021. "Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2021, pages 1-12, December.
    • Handle: RePEc:hin:jijmms:9484771
    DOI: 10.1155/2021/9484771
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