Hyperstability of a quadratic functional equation on abelian group and inner product spaces | Zendy

Iziddine ELFassi | Zendy; Gwang Hui Kim | Zendy

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Hyperstability of a quadratic functional equation on abelian group and inner product spaces

Author(s) -

Iziddine ELFassi,

Gwang Hui Kim

Publication year - 2016

Publication title -

the journal of nonlinear sciences and applications

Language(s) - English

Resource type - Journals

eISSN - 2008-1901

pISSN - 2008-1898

DOI - 10.22436/jnsa.009.09.04

Subject(s) - mathematics , abelian group , inner product space , quadratic equation , product (mathematics) , pure mathematics , group (periodic table) , functional equation , mathematical analysis , geometry , differential equation , chemistry , organic chemistry

Using the fixed point approach, we prove some results on hyperstability of the following quadratic functional equation f(x+ y + z) + f(x− y) + f(x− z) + f(y − z) = 3[f(x) + f(y) + f(z)], in the class of functions from an abelian group into a Banach space. c ©2016 All rights reserved.

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