On Solutions and Stability of Stochastic Functional Equations Emerging in Psychological Theory of Learning

被引：4

作者：

Turab, Ali ^{[1
]}

Brzdek, Janusz ^{[2
]}

Ali, Wajahat ^{[3
]}

机构：

[1] Thammasat Univ Rangsit Ctr, Fac Sci & Technol, Dept Math & Stat, Rangsit 12120, Thailand

[2] AGH Univ Sci & Technol, Fac Appl Math, Mickiewicza 30, PL-30059 Krakow, Poland

[3] Nanjing Univ Sci & Technol, Sch Sci, Nanjing 210094, Peoples R China

来源：

AXIOMS | 2022年 / 11卷 / 03期

关键词：

stochastic functional equations; mathematical psychology; Ulam stability; fixed point; FIXED-POINT THEOREMS; ACQUISITION; EXTINCTION; SITUATION;

D O I：

10.3390/axioms11030143

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show how to apply the well-known fixed-point approach in the study of the existence, uniqueness, and stability of solutions to some particular types of functional equations. Moreover, we also obtain the Ulam stability result for them. The functional equations that we consider can be used to explain various experiments in mathematical psychology and arise in a natural way in the stochastic approach to the processes of perception, learning, reasoning, and cognition.

引用

页数：11

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