The existence and uniqueness of solutions to a functional equation arising in psychological learning theory
The paradigm of choice practice represents the psychological theory of learning in the development of moral judgment. It is concerned with evaluating the implications of several choices and selecting one of them to implement. The goal of this work is to provide a generic functional equation to obser...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Walter de Gruyter GmbH
2023
|
| Subjects: | |
| Online Access: | http://umpir.ump.edu.my/id/eprint/40644/ http://umpir.ump.edu.my/id/eprint/40644/1/The%20existence%20and%20uniqueness%20of%20solutions%20to%20a%20functional.pdf |
| _version_ | 1848826107076280320 |
|---|---|
| author | Turab, Ali Norhayati, Rosli Ali, Wajahat Nieto, Juan J. |
| author_facet | Turab, Ali Norhayati, Rosli Ali, Wajahat Nieto, Juan J. |
| author_sort | Turab, Ali |
| building | UMP Institutional Repository |
| collection | Online Access |
| description | The paradigm of choice practice represents the psychological theory of learning in the development of moral judgment. It is concerned with evaluating the implications of several choices and selecting one of them to implement. The goal of this work is to provide a generic functional equation to observe the behavior of animals in such circumstances. Our suggested functional equation can be employed to describe several well-known psychology and learning theories. The fixed point theorem proposed by Banach is utilized to show that the solution of a given functional problem exists and is unique. In addition, the stability of the given functional equation's solution is discussed in terms of the Hyers-Ulam and Hyers-Ulam-Rassias results. Furthermore, two examples are provided to highlight the relevance of the significant outcomes in the context of the literature. |
| first_indexed | 2025-11-15T03:39:33Z |
| format | Article |
| id | ump-40644 |
| institution | Universiti Malaysia Pahang |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T03:39:33Z |
| publishDate | 2023 |
| publisher | Walter de Gruyter GmbH |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | ump-406442024-04-30T06:40:50Z http://umpir.ump.edu.my/id/eprint/40644/ The existence and uniqueness of solutions to a functional equation arising in psychological learning theory Turab, Ali Norhayati, Rosli Ali, Wajahat Nieto, Juan J. Q Science (General) QA Mathematics The paradigm of choice practice represents the psychological theory of learning in the development of moral judgment. It is concerned with evaluating the implications of several choices and selecting one of them to implement. The goal of this work is to provide a generic functional equation to observe the behavior of animals in such circumstances. Our suggested functional equation can be employed to describe several well-known psychology and learning theories. The fixed point theorem proposed by Banach is utilized to show that the solution of a given functional problem exists and is unique. In addition, the stability of the given functional equation's solution is discussed in terms of the Hyers-Ulam and Hyers-Ulam-Rassias results. Furthermore, two examples are provided to highlight the relevance of the significant outcomes in the context of the literature. Walter de Gruyter GmbH 2023-01-01 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/40644/1/The%20existence%20and%20uniqueness%20of%20solutions%20to%20a%20functional.pdf Turab, Ali and Norhayati, Rosli and Ali, Wajahat and Nieto, Juan J. (2023) The existence and uniqueness of solutions to a functional equation arising in psychological learning theory. Demonstratio Mathematica, 56 (20220231). pp. 1-12. ISSN 0420-1213. (Published) https://doi.org/10.1515/dema-2022-0231 https://doi.org/10.1515/dema-2022-0231 |
| spellingShingle | Q Science (General) QA Mathematics Turab, Ali Norhayati, Rosli Ali, Wajahat Nieto, Juan J. The existence and uniqueness of solutions to a functional equation arising in psychological learning theory |
| title | The existence and uniqueness of solutions to a functional equation arising in psychological learning theory |
| title_full | The existence and uniqueness of solutions to a functional equation arising in psychological learning theory |
| title_fullStr | The existence and uniqueness of solutions to a functional equation arising in psychological learning theory |
| title_full_unstemmed | The existence and uniqueness of solutions to a functional equation arising in psychological learning theory |
| title_short | The existence and uniqueness of solutions to a functional equation arising in psychological learning theory |
| title_sort | existence and uniqueness of solutions to a functional equation arising in psychological learning theory |
| topic | Q Science (General) QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/40644/ http://umpir.ump.edu.my/id/eprint/40644/ http://umpir.ump.edu.my/id/eprint/40644/ http://umpir.ump.edu.my/id/eprint/40644/1/The%20existence%20and%20uniqueness%20of%20solutions%20to%20a%20functional.pdf |