Skip to content
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 7

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

Showing 3 of 7 known citations — external sources report more than can currently be individually listed.

Related research

Article metrics

Real usage data collected on this platform.

15

Page views

0

PDF downloads

5

Outbound clicks

7

Citations

Views over time

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

Traffic sources

Referring site, by host.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.