$AQ$ and   $CQ$   functional equations

M. Arunkumar; E. Sathya; C. Devi Shyamala Mary; S. Hema Latha

doi:10.26637/MJM0601/0024

Abstract

In this paper, the authors test the generalized Ulam - Hyers stability of the additive-quadratic and cubic-quartic functional equations
$$
f(2 x)=3 f(x)+f(-x) ; \quad g(2 x)=12 g(x)+4 g(-x),
$$
via Quasi-Beta Banach space and Intuitionistic fuzzy Banach space using direct and fixed point methods.

Keywords:

Additive functional equation, quadratic functional equation, cubic functional equation, quartic functional equation, mixed additive-quadratic functional equations, mixed cubic-quartic functional equations, generalized Ulam - Hyers stability,, Quasi-Beta Banach space, Intuitionistic fuzzy Banach space, fixed point.

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

M. Arunkumar Department of Mathematics, Government Arts College, Tiruvannamalai - 606 603, TamilNadu, India.
E. Sathya Department of Mathematics, Government Arts College, Tiruvannamalai - 606 603, TamilNadu, India.
C. Devi Shyamala Mary Department of Mathematics, St.Joseph’s College of Arts and Science, Cuddalore - 607 001, TamilNadu, India.
S. Hema Latha Department of Mathematics, Annai Veilankanni’s College of Arts and Science, Saidapet, Chennai - 600 015, TamilNadu, India.

Pages: 182-205
Date Published: 01-01-2018
Vol. 6 No. 01 (2018): Malaya Journal of Matematik (MJM)

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