A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98901120191230Non-stabilities of mixed type Euler-Lagrange k-cubic-quartic functional equation in various normed spaces14367984910.30495/maca.2019.679849ENJohn MichaelRassiasPedagogical Department E.E., Section of Mathematics and Informatics, National and Capodistrian University of Athens, 4, Agamemnonos Str. Aghia Paraskevi, Athens 15342, Greece.MohanArunkumarDepartment of Mathematics, Government Arts College,
Tiruvannamalai - 606 603, TamilNadu, India.ElumalaiSathyaDepartment of Mathematics, Shanmuga Industries Arts and Science College,
Tiruvannamalai - 606 603, TamilNadu, India.Journal Article20190409In this paper, we introduce and examine the generalized Ulam-Hyers stability of fixed Euler-Lagrange k-Cubic-Quartic functional Equation<br />f(x+ky) + f(kx+y) + f(x-ky) + f(y-kx) = k<sup>2</sup>[2f(x+y) + f(x-y) + f(y-x)] + 2(k<sup>4</sup>-1) [f(x) + f(y)] +k<sup>2</sup>/4(k<sup>2</sup>-1) [f(2x) + f(2y)]<br />where k is a real number with k ≠ 0, ±1 in various Banach spaces with the help of two different methods.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98901120191230Stability of cosine type functional equations onmodule extension Banach algebras444967984210.30495/maca.2021.679842ENAbbasZivari-KazempourDepartment of Mathematics,
Ayatollah Borujerdi University, Borujerd, Iran.Journal Article20190706Let 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<br /> φ(ab,a·y+x·b)=φ(ab,x·b-a·y)=2φ(a,x)φ(b,y),<br />on module extension Banach algebra U=A+X.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98901120191230Partially ordered cone metric spaces and coupled fixed point theorems via $alpha$-series506167984710.30495/maca.2019.679847ENSamiraHadi BonabDepartment of Mathematics, Ardabil Branch, \indent Islamic Azad University, Ardabil, IranRasoulAbazariDepartment of Mathematics, Ardabil Branch, \indent Islamic Azad University, Ardabil, IranAliBagheri VakilabadDepartment of Mathematics, Ardabil Branch, indent Islamic Azad University, Ardabil, IranJournal Article20190502This 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.A.I.A University Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98901120191230Cohen’s factorization theorem for ternary Banach algebras626667984810.30495/maca.2019.679848ENAliJabbariYoung Researchers and Elite ClubsJournal Article20190904In this paper, we prove Cohen's factorization theorem for ternary Banach algebras.