Loading [MathJax]/jax/output/CommonHTML/jax.js
Journal of Siberian Federal University. Mathematics & Physics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Journal of Siberian Federal University. Mathematics & Physics, 2022, Volume 15, Issue 3, Pages 366–377
DOI: https://doi.org/10.17516/1997-1397-2022-15-3-366-377
(Mi jsfu1004)
 

A fixed point approach to study a class of probabilistic functional equations arising in the psychological theory of learning

Ali Turab

Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathum Thani, Thailand
References:
Abstract: Many biological and learning theory models have been investigated using probabilistic functional equations. This article focuses on a specific kind of predator–prey relation in which a predator has two prey options, each with a probability of x and 1x, respectively. Our aim is to investigate the animal's responses in such situations by proposing a general probabilistic functional equation. The noteworthy fixed-point results are used to investigate the existence, uniqueness, and stability of solutions to the proposed functional equation. An example is also given to illustrate the importance of our results in this area of research.
Keywords: probabilistic functional equations, stability, fixed points.
Received: 25.11.2021
Received in revised form: 30.01.2022
Accepted: 18.03.2022
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Ali Turab, “A fixed point approach to study a class of probabilistic functional equations arising in the psychological theory of learning”, J. Sib. Fed. Univ. Math. Phys., 15:3 (2022), 366–377
Citation in format AMSBIB
\Bibitem{Tur22}
\by Ali~Turab
\paper A fixed point approach to study a class of probabilistic functional equations arising in the psychological theory of learning
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2022
\vol 15
\issue 3
\pages 366--377
\mathnet{http://mi.mathnet.ru/jsfu1004}
\crossref{https://doi.org/10.17516/1997-1397-2022-15-3-366-377}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4442671}
Linking options:
  • https://www.mathnet.ru/eng/jsfu1004
  • https://www.mathnet.ru/eng/jsfu/v15/i3/p366
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал Сибирского федерального университета. Серия "Математика и физика"
    Statistics & downloads:
    Abstract page:63
    Full-text PDF :22
    References:23
     
      Contact us:
    math-net2025_01@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025