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)
|
Pdf
The existence and uniqueness of solutions to a functional.pdf Available under License Creative Commons Attribution. Download (3MB) | Preview |
Abstract
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.
| Item Type: | Article |
|---|---|
| Additional Information: | Indexed by Scopus |
| Uncontrolled Keywords: | Fixed points; Functional equation; Stability |
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics |
| Faculty/Division: | Center for Mathematical Science |
| Depositing User: | Mr Muhamad Firdaus Janih@Jaini |
| Date Deposited: | 30 Apr 2024 06:40 |
| Last Modified: | 30 Apr 2024 06:40 |
| URI: | http://umpir.ump.edu.my/id/eprint/40644 |
| Download Statistic: | View Download Statistics |
Actions (login required)
 |
View Item |