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A fixed point approach to study a class of probabilistic functional equations arising in the psychological theory of learning
Ali Turab Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathum Thani, Thailand
Abstract:
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.
Received: 25.11.2021 Received in revised form: 30.01.2022 Accepted: 18.03.2022
Citation:
Ali Turab, “A fixed point approach to study a class of probabilistic functional equations arising in the psychological theory of learning”, J. Sib. Fed. Univ. Math. Phys., 15:3 (2022), 366–377
Linking options:
https://www.mathnet.ru/eng/jsfu1004 https://www.mathnet.ru/eng/jsfu/v15/i3/p366
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Abstract page: | 63 | Full-text PDF : | 22 | References: | 23 |
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