Cover Image

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...

Full description

Saved in:
Bibliographic Details
Main Authors: Turab, Ali, Norhayati, Rosli, Ali, Wajahat, Nieto, Juan J.
Format: Article
Language:English
Published: Walter de Gruyter GmbH 2023
Subjects:
Q Science (General)
QA Mathematics
Online Access:http://umpir.ump.edu.my/id/eprint/40644/1/The%20existence%20and%20uniqueness%20of%20solutions%20to%20a%20functional.pdf
http://umpir.ump.edu.my/id/eprint/40644/
https://doi.org/10.1515/dema-2022-0231
https://doi.org/10.1515/dema-2022-0231
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.ump.umpir.40644
record_format eprints
spelling my.ump.umpir.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
institution Universiti Malaysia Pahang Al-Sultan Abdullah
building UMPSA Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang Al-Sultan Abdullah
content_source UMPSA Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic Q Science (General)
QA Mathematics
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
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.
format Article
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
title 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_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_sort existence and uniqueness of solutions to a functional equation arising in psychological learning theory
publisher Walter de Gruyter GmbH
publishDate 2023
url http://umpir.ump.edu.my/id/eprint/40644/1/The%20existence%20and%20uniqueness%20of%20solutions%20to%20a%20functional.pdf
http://umpir.ump.edu.my/id/eprint/40644/
https://doi.org/10.1515/dema-2022-0231
https://doi.org/10.1515/dema-2022-0231
_version_ 1822924249606651904
score 13.239859

Similar Items