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

Kenza Benkirane, Abderrahim EL Adraoui and El Miloudi Marhrani

International Journal of Mathematics and Mathematical Sciences, 2021, vol. 2021, issue 1

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.

Date: 2021
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https://doi.org/10.1155/2021/9484771

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jijmms:v:2021:y:2021:i:1:n:9484771

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