On Solutions and Stability of Stochastic Functional Equations Emerging in Psychological Theory of Learning
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 expla...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-03-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/11/3/143 |
| _version_ | 1797447109762351104 |
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| author | Ali Turab Janusz Brzdęk Wajahat Ali |
| author_facet | Ali Turab Janusz Brzdęk Wajahat Ali |
| author_sort | Ali Turab |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-09T13:51:07Z |
| format | Article |
| id | doaj.art-69b65b076042447cb42c55e06f7ff3ab |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-09T13:51:07Z |
| publishDate | 2022-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-69b65b076042447cb42c55e06f7ff3ab2023-11-30T20:50:31ZengMDPI AGAxioms2075-16802022-03-0111314310.3390/axioms11030143On Solutions and Stability of Stochastic Functional Equations Emerging in Psychological Theory of LearningAli Turab0Janusz Brzdęk1Wajahat Ali2Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Rangsit 12120, ThailandFaculty of Applied Mathematics, AGH University of Science and Technology, Mickiewicza 30, 30-059 Kraków, PolandSchool of Science, Nanjing University of Science and Technology, Nanjing 210094, ChinaWe 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.https://www.mdpi.com/2075-1680/11/3/143stochastic functional equationsmathematical psychologyUlam stabilityfixed point |
| spellingShingle | Ali Turab Janusz Brzdęk Wajahat Ali On Solutions and Stability of Stochastic Functional Equations Emerging in Psychological Theory of Learning Axioms stochastic functional equations mathematical psychology Ulam stability fixed point |
| title | On Solutions and Stability of Stochastic Functional Equations Emerging in Psychological Theory of Learning |
| title_full | On Solutions and Stability of Stochastic Functional Equations Emerging in Psychological Theory of Learning |
| title_fullStr | On Solutions and Stability of Stochastic Functional Equations Emerging in Psychological Theory of Learning |
| title_full_unstemmed | On Solutions and Stability of Stochastic Functional Equations Emerging in Psychological Theory of Learning |
| title_short | On Solutions and Stability of Stochastic Functional Equations Emerging in Psychological Theory of Learning |
| title_sort | on solutions and stability of stochastic functional equations emerging in psychological theory of learning |
| topic | stochastic functional equations mathematical psychology Ulam stability fixed point |
| url | https://www.mdpi.com/2075-1680/11/3/143 |
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