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Research Article Open access CC BY 4.0

Stability of a k Cubic Functional Equation in Quasi - β Normed Spaces: Direct and Fixed Point Methods

Matina J. Rassias, M. Arunkumar, E. Sathya

Journal of Advances in Mathematics and Computer Science · pp. 346–360 · Published 14 Jul 2015

10.9734/BJMCS/2015/17006

Abstract

In this paper, we introduce and investigate the Hyers - Ulam stability of a k cubic functional equation of the form for  in quasi - normed spaces using both direct and fixed point methods.

Cubic functional equations Generalized Ulam - Hyers stability quasi - normed spaces fixed point method

Cited by 3

General solution and generalized Ulam - Hyers stability of $r_i$-type $n$ dimensional quadratic-cubic functional equation in random normed spaces: Direct and fixed point methods

Matina J. Rassias, M. Arunkumar, P. Agilan · Malaya Journal of Matematik · 2018

Stability of general quadratic-cubic-quartic functional equation in quasi beta Banach space via two dissimilar methods

S. Pinelas, M. Arunkumar, N. Mahesh Kumar · Malaya Journal of Matematik · 2018

Generalized Ulam–Hyers stability of (a, b; k > 0)-cubic functional equation in intuitionistic fuzzy normed spaces

S. Karthikeyan, John M. Rassias, M. Arunkumar · The Journal of Analysis · 2018

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