A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results
The psychological learning theory (PLT) in the formation of moral verdict is represented by the choice-practice paradigm. It involves weighing the effects of various options and choosing one to put into practice. This manuscript is devoted to presenting a general functional equation (FE) for observi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2023-10-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://etamaths.com/index.php/ijaa/article/view/2933 |
| _version_ | 1797404946141806592 |
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| author | Doha A. Kattan Hasanen A. Hammad |
| author_facet | Doha A. Kattan Hasanen A. Hammad |
| author_sort | Doha A. Kattan |
| collection | DOAJ |
| description | The psychological learning theory (PLT) in the formation of moral verdict is represented by the choice-practice paradigm. It involves weighing the effects of various options and choosing one to put into practice. This manuscript is devoted to presenting a general functional equation (FE) for observing animal behavior in such situations. The proposed equation can be used to explain a number of well-known learning and psychological theories. The existence and uniqueness of the solution to a given equation are demonstrated using fixed point (FP) techniques. Furthermore, the stability of the solution to the provided FE is explored in the sense of Hyers-Ulam-Rassias (HUR) and Hyers-Ulam (HU). Ultimately, to emphasize the importance of our results, two examples are presented. |
| first_indexed | 2024-03-09T03:02:27Z |
| format | Article |
| id | doaj.art-ed888d5c0c204a1d8955e516a885aaa2 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-03-09T03:02:27Z |
| publishDate | 2023-10-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-ed888d5c0c204a1d8955e516a885aaa22023-12-04T12:13:05ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392023-10-012111211210.28924/2291-8639-21-2023-1122318A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability ResultsDoha A. KattanHasanen A. HammadThe psychological learning theory (PLT) in the formation of moral verdict is represented by the choice-practice paradigm. It involves weighing the effects of various options and choosing one to put into practice. This manuscript is devoted to presenting a general functional equation (FE) for observing animal behavior in such situations. The proposed equation can be used to explain a number of well-known learning and psychological theories. The existence and uniqueness of the solution to a given equation are demonstrated using fixed point (FP) techniques. Furthermore, the stability of the solution to the provided FE is explored in the sense of Hyers-Ulam-Rassias (HUR) and Hyers-Ulam (HU). Ultimately, to emphasize the importance of our results, two examples are presented.http://etamaths.com/index.php/ijaa/article/view/2933 |
| spellingShingle | Doha A. Kattan Hasanen A. Hammad A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results International Journal of Analysis and Applications |
| title | A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results |
| title_full | A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results |
| title_fullStr | A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results |
| title_full_unstemmed | A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results |
| title_short | A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results |
| title_sort | solution of a general functional equation involved in psychological theory of learning and stability results |
| url | http://etamaths.com/index.php/ijaa/article/view/2933 |
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