Abstract
We construct a sequence of measurable functions and consider its convergence to the unique common random fixed point of two random operators defined on a nonempty closed subset of a separable Hilbert space. The corresponding result in the nonrandom case is also obtained.
Highlights
In recent years, the study of random fixed points have attracted much attention, some of the recent literatures in random fixed points may be noted in [1, 2, 3, 7, 8, 9]
We work out a common random fixed point theorem for two random operators defined on a nonempty closed subset of a separable Hilbert space
For the purpose of obtaining the random fixed point of the two random operators we have constructed a sequence of measurable functions and have shown its convergence to the fixed point
Summary
The study of random fixed points have attracted much attention, some of the recent literatures in random fixed points may be noted in [1, 2, 3, 7, 8, 9]. We work out a common random fixed point theorem for two random operators defined on a nonempty closed subset of a separable Hilbert space. For the purpose of obtaining the random fixed point of the two random operators we have constructed a sequence of measurable functions and have shown its convergence to the fixed point.
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