@article {
author = {Rassias, John and Arunkumar, Mohan and Sathya, Elumalai},
title = {Non-stabilities of mixed type Euler-Lagrange k-cubic-quartic functional equation in various normed spaces},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {1},
number = {1},
pages = {1-43},
year = {2019},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {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) = 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.},
keywords = {cubic functional equation,quartic functional equations,mixed type functional equations,Generalized Hyers-Ulam stability,Banach space,Quasi-Beta Banach space,Fuzzy Banach space},
url = {http://www.macajournal.com/article_679849.html},
eprint = {http://www.macajournal.com/article_679849_a7130956b03790a6b9cd27d7a57b37df.pdf}
}
@article {
author = {Zivari-Kazempour, Abbas},
title = {Stability of cosine type functional equations onmodule extension Banach algebras},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {1},
number = {1},
pages = {44-49},
year = {2019},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {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 module extension Banach algebra U=A+X.},
keywords = {Stability,Cosine functional equations,multiplicative function},
url = {http://www.macajournal.com/article_679842.html},
eprint = {http://www.macajournal.com/article_679842_96163650a1151f904bd60658e8ab2f1a.pdf}
}
@article {
author = {Hadi Bonab, Samira and Abazari, Rasoul and Bagheri Vakilabad, Ali},
title = {Partially ordered cone metric spaces and coupled fixed point theorems via $\alpha$-series},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {1},
number = {1},
pages = {50-61},
year = {2019},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {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 via $\alpha$-series. The $\alpha$-series are wider than the convergent series. Furthermore, an example is provided to illustrate the results.},
keywords = {Cone metric space,$alpha$-series,coupled fixed point,Coupled coincidence point,compatible,reciprocally continuous},
url = {http://www.macajournal.com/article_679847.html},
eprint = {http://www.macajournal.com/article_679847_2fe087d8285680d650e287402f4674f2.pdf}
}
@article {
author = {Jabbari, Ali},
title = {Cohen’s factorization theorem for ternary Banach algebras},
journal = {Mathematical Analysis and its Contemporary Applications},
volume = {1},
number = {1},
pages = {62-66},
year = {2019},
publisher = {A.I.A University Publishing Group.},
issn = {2716-9890},
eissn = {2716-9898},
doi = {10.30495/maca.2019.679848},
abstract = {In this paper, we prove Cohen's factorization theorem for ternary Banach algebras.},
keywords = {approximate identity,approximating set,ternary Banach algebra},
url = {http://www.macajournal.com/article_679848.html},
eprint = {http://www.macajournal.com/article_679848_32b5fcac9a1554af20157137b65287bb.pdf}
}