Approximation of Mixed Euler-Lagrange σ -Cubic-Quartic Functional Equation in Felbin’s Type f-NLS-Reference-Cited by-同舟云学术

Approximation of Mixed Euler-Lagrange σ -Cubic-Quartic Functional Equation in Felbin’s Type f-NLS

Published:2021-02-12 Issue: Volume:2021 Page:1-7
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Rassias John Michael¹,Pasupathi Narasimman²,Saadati Reza³^ORCID,de la Sen Manuel⁴^ORCID

Affiliation:

1. Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos Str., Aghia Paraskevi, Athens 15342, Greece

2. Department of Mathematics, Thiruvalluvar University College of Arts and Science, Kariyampatti, Tirupattur, 635 901 Tamil Nadu, India

3. Department of Mathematics, Iran University of Science and Technology, Tehran 13114-16846, Iran

4. Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, Spain

Abstract

In this research paper, the authors present a new mixed Euler-Lagrange

σ

-cubic-quartic functional equation. For this introduced mixed type functional equation, the authors obtain general solution and investigate the various stabilities related to the Ulam problem in Felbin’s type of fuzzy normed linear space (f-NLS) with suitable counterexamples. This approach leads us to approximate the Euler-Lagrange

σ

-cubic-quartic functional equation with better estimation.

Funder

Basque Government

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/8068673.pdf

Reference28 articles.

1. A collection of mathematical problems;S. M. Ulam,1960

2. On the Stability of the Linear Functional Equation

3. On the stability of the linear mapping in Banach spaces

4. On approximation of approximately linear mappings by linear mappings

5. Ulam stability for the orthogonally general Euler-Lagrange type functional equation;K. Ravi;International Journal of Mathematics and statistics,2008

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