A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results

Kattan, Doha A.; Hammad, Hasanen A.

doi:10.28924/2291-8639-21-2023-112

Research Article

A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results

Doha A. Kattan
Hasanen A. Hammad*

* Corresponding author

Abstract

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.

How to Cite

D. A. Kattan, H. A. Hammad, A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results, Int. J. Anal. Appl. 21 (2023), 112. https://doi.org/10.28924/2291-8639-21-2023-112

BibTeX

@article{Kattan2023,
  author  = {Kattan, Doha A. and Hammad, Hasanen A.},
  title   = {A Solution of a General Functional Equation Involved in Psychological Theory of Learning and Stability Results},
  journal = {Int. J. Anal. Appl.},
  volume  = {21},
  year    = {2023},
  pages   = {112},
  doi     = {10.28924/2291-8639-21-2023-112}
}

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