HYERS-ULAM STABILITY OF ANTIDERIVATION IN BANACH ALGEBRA VIA FIXED POINT THEOREM

Yamin Sayyari, Siriluk Donganont, Mehdi Dehghanian, Mana Donganont

Abstract


In this article, we introduce the concept of antiderivation in complex algebrasand investigate the Hyers-Ulam stability of antiderivation in Banach algebras A, associatedto the -functional inequality:

|| f(σ+τ+υ) - f(σ+υ) - f(σ+τ-υ) + f(σ-υ) ||

≤ ρ || f(σ-τ+υ) - f(σ+υ) - f(σ-τ-υ) + f(σ-υ) ||

for all σ,τ,υ∈A with |ρ|< 1 by using the fixed point method.

 


Full Text: PDF

Refbacks

  • There are currently no refbacks.


ISSN: 1229-1595 (Print), 2466-0973 (Online)

(51767) 7 Kyungnamdaehak-ro, Masanhappo-gu, Changwon-si, Gyeongsangnam-do, Republic of Korea