Geodesic
A fixed point approach to study a class of probabilistic functional equations arising in the psychological theory of learning
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 366-377

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Many biological and learning theory models have been investigated using probabilistic functional equations. This article focuses on a specific kind of predator–prey relation in which a predator has two prey options, each with a probability of $x$ and $1-x$, respectively. Our aim is to investigate the animal's responses in such situations by proposing a general probabilistic functional equation. The noteworthy fixed-point results are used to investigate the existence, uniqueness, and stability of solutions to the proposed functional equation. An example is also given to illustrate the importance of our results in this area of research.
Keywords: probabilistic functional equations, stability, fixed points. 
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     title = {A fixed point approach to study a class of probabilistic functional equations arising in the psychological theory of learning},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {366--377},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a9/}
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Ali Turab. A fixed point approach to study a class of probabilistic functional equations arising in the psychological theory of learning. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 15 (2022) no. 3, pp. 366-377. http://geodesic.mathdoc.fr/item/JSFU_2022_15_3_a9/