On the Stochastic Spread of Random Functions

Year 2025, Volume: 17 Issue: 2, 366 - 370, 30.12.2025

Celaleddin Şençimen

https://doi.org/10.47000/tjmcs.1703838

Abstract

In this study, we consider random functions whose domain is an interval of the real number field and range a random metric (RM) space of random elements taking values in a metric or normed space. In this context, the concept of stochastic spread of a random function is introduced and some of its basic properties are studied. This concept is analogous to the derivative of a random function but it is rather different. It may provide some geometric properties of a stochastic process when the process is considered as a path in an RM space of random elements.

Keywords

random metric space , random normed space , random function , stochastic spread

Ethical Statement

The author has no competing/ financial interests, or other interests relevant to the content of this paper. No funding was received for conducting this study.

Supporting Institution

None

Project Number

None

Thanks

None

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