Non-stabilities of mixed type Euler-Lagrange k-cubic-quartic functional equation in various normed spaces
John
Rassias
Pedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos Str. Aghia Paraskevi, Athens 15342, Greece.
author
Mohan
Arunkumar
Department of Mathematics, Government Arts College,
Tiruvannamalai - 606 603, TamilNadu, India.
author
Elumalai
Sathya
Department of Mathematics, Shanmuga Industries Arts and Science College,
Tiruvannamalai - 606 603, TamilNadu, India.
author
text
article
2019
eng
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) = k2[2f(x+y) + f(x-y) + f(y-x)] + 2(k4-1) [f(x) + f(y)] +k2/4(k2-1) [f(2x) + f(2y)]where k is a real number with k ≠ 0, ±1 in various Banach spaces with the help of two different methods.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
1
v.
1
no.
2019
1
43
http://www.macajournal.com/article_679849_a7130956b03790a6b9cd27d7a57b37df.pdf
dx.doi.org/10.30495/maca.2019.679849
Stability of cosine type functional equations onmodule extension Banach algebras
Abbas
Zivari-Kazempour
Department of Mathematics,
Ayatollah Borujerdi University, Borujerd, Iran.
author
text
article
2019
eng
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 module extension Banach algebra U=A+X.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
1
v.
1
no.
2019
44
49
http://www.macajournal.com/article_679842_96163650a1151f904bd60658e8ab2f1a.pdf
dx.doi.org/10.30495/maca.2021.679842
Partially ordered cone metric spaces and coupled fixed point theorems via $\alpha$-series
Samira
Hadi Bonab
Department of Mathematics, Ardabil Branch, \indent Islamic Azad University, Ardabil, Iran
author
Rasoul
Abazari
Department of Mathematics, Ardabil Branch, \indent Islamic Azad University, Ardabil, Iran
author
Ali
Bagheri Vakilabad
Department of Mathematics, Ardabil Branch, indent Islamic Azad University, Ardabil, Iran
author
text
article
2019
eng
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 via $\alpha$-series. The $\alpha$-series are wider than the convergent series. Furthermore, an example is provided to illustrate the results.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
1
v.
1
no.
2019
50
61
http://www.macajournal.com/article_679847_2fe087d8285680d650e287402f4674f2.pdf
dx.doi.org/10.30495/maca.2019.679847
Cohen’s factorization theorem for ternary Banach algebras
Ali
Jabbari
Young Researchers and Elite Clubs
author
text
article
2019
eng
In this paper, we prove Cohen's factorization theorem for ternary Banach algebras.
Mathematical Analysis and its Contemporary Applications
A.I.A University Publishing Group.
2716-9890
1
v.
1
no.
2019
62
66
http://www.macajournal.com/article_679848_32b5fcac9a1554af20157137b65287bb.pdf
dx.doi.org/10.30495/maca.2019.679848