Non-stabilities of mixed type Euler-Lagrange k-cubic-quartic functional equation in various normed spaces
1. Non-stabilities of mixed type Euler-Lagrange k-cubic-quartic functional equation in various normed spaces

John Michael Rassias; Mohan Arunkumar; Elumalai Sathya

Volume 1, Issue 1 , Winter 2019, Pages 1-43

http://dx.doi.org/10.30495/maca.2019.679849

Abstract
  In this paper, we introduce and examine the generalized Ulam-Hyers stability of fixed Euler-Lagrange  k-Cubic-Quartic functional Equationf(x+ky) + f(kx+y) + f(x-ky) + f(y-kx) = ...  Read More
Stability of cosine type functional equations onmodule extension Banach algebras
2. Stability of cosine type functional equations onmodule extension Banach algebras

Abbas Zivari-Kazempour

Volume 1, Issue 1 , Winter 2019, Pages 44-49

http://dx.doi.org/10.30495/maca.2021.679842

Abstract
  Let A be a Banach algebra and X be a Banach A-bimodule. In this paper we investigate the stability of the cosine type functional equation φ(ab,a·y+x·b)=φ(ab,x·b-a·y)=2φ(a,x)φ(b,y),on ...  Read More
Partially ordered cone metric spaces and coupled fixed point theorems via $\alpha$-series
3. Partially ordered cone metric spaces and coupled fixed point theorems via $\alpha$-series

Samira Hadi Bonab; Rasoul Abazari; Ali Bagheri Vakilabad

Volume 1, Issue 1 , Winter 2019, Pages 50-61

http://dx.doi.org/10.30495/maca.2019.679847

Abstract
  This research tends to focus on proving the results of coupled fixed point in partially ordered cone metric spaces by imposing some condition on a self-mapping and a sequence of mappings ...  Read More