ORIGINAL_ARTICLE
Non-stabilities of mixed type Euler-Lagrange k-cubic-quartic functional equation in various normed spaces
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.
http://www.macajournal.com/article_679849_a7130956b03790a6b9cd27d7a57b37df.pdf
2019-12-30
1
43
10.30495/maca.2019.679849
cubic functional equation
quartic functional equations
mixed type functional equations
Generalized Hyers-Ulam stability
Banach space
Quasi-Beta Banach space
Fuzzy Banach space
John
Rassias
jrassias@primedu.uoa.gr
1
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
drarun4maths@gmail.com
2
Department of Mathematics, Government Arts College, Tiruvannamalai - 606 603, TamilNadu, India.
LEAD_AUTHOR
Elumalai
Sathya
sathya24mathematics@gmail.com
3
Department of Mathematics, Shanmuga Industries Arts and Science College, Tiruvannamalai - 606 603, TamilNadu, India.
AUTHOR
ORIGINAL_ARTICLE
Stability of cosine type functional equations onmodule extension Banach algebras
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.
http://www.macajournal.com/article_679842_96163650a1151f904bd60658e8ab2f1a.pdf
2019-12-30
44
49
10.30495/maca.2021.679842
Stability
Cosine functional equations
multiplicative function
Abbas
Zivari-Kazempour
zivari@abru.ac.ir
1
Department of Mathematics, Ayatollah Borujerdi University, Borujerd, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Partially ordered cone metric spaces and coupled fixed point theorems via $\alpha$-series
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.
http://www.macajournal.com/article_679847_2fe087d8285680d650e287402f4674f2.pdf
2019-12-30
50
61
10.30495/maca.2019.679847
Cone metric space
$alpha$-series
coupled fixed point
Coupled coincidence point
compatible
reciprocally continuous
Samira
Hadi Bonab
hadi.23bonab@gmail.com
1
Department of Mathematics, Ardabil Branch, \indent Islamic Azad University, Ardabil, Iran
AUTHOR
Rasoul
Abazari
rasoolabazari@gmail.com
2
Department of Mathematics, Ardabil Branch, \indent Islamic Azad University, Ardabil, Iran
LEAD_AUTHOR
Ali
Bagheri Vakilabad
3
Department of Mathematics, Ardabil Branch, indent Islamic Azad University, Ardabil, Iran
AUTHOR
ORIGINAL_ARTICLE
Cohen’s factorization theorem for ternary Banach algebras
In this paper, we prove Cohen's factorization theorem for ternary Banach algebras.
http://www.macajournal.com/article_679848_32b5fcac9a1554af20157137b65287bb.pdf
2019-12-30
62
66
10.30495/maca.2019.679848
approximate identity
approximating set
ternary Banach algebra
Ali
Jabbari
jabbari_al@yahoo.com
1
Young Researchers and Elite Clubs
LEAD_AUTHOR