Publication Information

Publisher:
A.I.A University Publishing Group.

Director-in-Charge:

Editor-in-Chief:
Abasalt Bodaghi

Co-Editor-in-Chief:

Managing Editor:
Ali Jabbari

Online ISSN: 2716-9898

Volume 1 (2019)

Facts and Figures

 Number of Volumes 3 Number of Issues 4 Number of Articles 24 Number of Contributors 45 Article View 802 PDF Download 665 View Per Article 33.42 PDF Download Per Article 27.71
1. Intuitionistic fuzzy stability of the heptic functional equation

Volume 3, Issue 2 , Spring 2021, Pages 1-14
Abstract
In this article, by using a fixed point method, we establish the intuitionistic fuzzy version of Hyers-Ulam stability for a heptic functional equation that was introduced by Xu and ...  Read More

2. On character amenability of weighted convolution algebras on certain semigroups

Volume 3, Issue 2 , Spring 2021, Pages 15-26
Abstract
In this work, we study the character amenability of weighted convolution algebras $\ell^{1} (S,\omega)$, where $S$ is a semigroup of classes of inverse semigroups with a uniformly ...  Read More

3. Fixed point results for generalized contractions in S-metric spaces

Volume 3, Issue 2 , Spring 2021, Pages 27-39
Abstract
In this paper, we discuss the existence of a fixed point for a generalized contraction in S-metric spaces. We furnish some examples in support of our main results. Our results generalize ...  Read More

4. Some coupled coincidence point results in partially ordered metric spaces

Volume 3, Issue 2 , Spring 2021, Pages 40-54
Abstract
In this paper, we introduce the notion of partial-compatibility of mappings in an ordered partial metric space and use this notion to establish coupled coincidence point theorems for ...  Read More

5. The coincidence point results and rational contractions in E(s)-distance spaces

Maliha Rashid; Rabia Bibi; Reny George; Zoran D. Mitrovic

Volume 3, Issue 2 , Spring 2021, Pages 55-67

6. Biﬂatness of Banach algebras modulo an ideal

Mohammad Ali Abolfathi; Oluwatosin Temitope Mewomo

Volume 3, Issue 2 , Spring 2021, Pages 68-74
Abstract
Biﬂatness of Banach algebras is one of the important topics in the study of cohomological properties of Banach algebras. This concept has a close relationship with the amenability ...  Read More

1. Analytic differenceability of functions

Volume 3, Issue 1 , Winter 2021, , Pages 1-12
Abstract
Analytic summability of functions was introduced by Hooshmand in 2016. He used Bernoulli numbers and polynomials Bn(z) to define analytic summability and related analytic summand functions. ...  Read More

2. Stability of quartic functional equation in paranormed spaces

Karthikeyan Subramani; Choonkil Park; John Michael Rassias

Volume 3, Issue 1 , Winter 2021, , Pages 48-58
Abstract
In this paper, we prove the Ulam-Hyers stability of the following quartic functional equation in paranormed spaces using both direct and fixed point methods.  Read More

3. Generalized Ulam-Hyers stability of an alternate additive-quadratic-quartic functional equation in fuzzy Banach spaces

John Michael Rassias; Elumalai Sathya; Mohan Arunkumar

Volume 3, Issue 1 , Winter 2021, , Pages 13-31
Abstract
In this paper, we obtain and establish the generalized Ulam-Hyers stability of an additive-quadratic-quartic functional equation in fuzzy Banach spaces.  Read More

4. 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
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

5. Cohen’s factorization theorem for ternary Banach algebras

Ali Jabbari

Volume 1, Issue 1 , Winter 2019, , Pages 62-66
Abstract
In this paper, we prove Cohen's factorization theorem  for ternary Banach algebras.  Read More

1. A new version of the Hahn Banach theorem in b-Banach spaces

In this paper, we introduce the notion of b-Banach spaces and we present some examples. Also, we give an important extension of the Hahn-Banach theorem in a $b$-Banach space with an ...  Read More