Random fixed points of probabilistic contractive random operators

Key Points

• This research investigates random fixed points in the context of measurable random operators and their contractions.
• Analyzed Nemytskij operators associated with random operators.
• Developed theorems for fixed points of probabilistic contractions under measurable assumptions.
• Established common theorems for random fixed points with measurable random operators.
• Presented findings on probabilistic contractions demonstrating their significance in fixed-point theory.