#### 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

Print ISSN: 2716-9890

Online ISSN: 2716-9898

##### Volume 1 (2019)

Facts and Figures

 Number of Volumes 3 Number of Issues 5 Number of Articles 33 Number of Contributors 58 Article View 1,709 PDF Download 1,190 View Per Article 51.79 PDF Download Per Article 36.06
##### 1. On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces

Parveen Kumar; Nicola Fabiano; Ljiljana Paunovic

Volume 3, Issue 3 , Summer 2021, Pages 1-25
##### Abstract
In this paper, among other things, we have established four different types of compatible mappings that work in the context of C*-algebra valued metric spaces. The obtained ...  Read More

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

Volume 3, Issue 3 , Summer 2021, Pages 27-32
##### Abstract
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

##### 3. On Palais method in b-metric like spaces

Nikola Mirkov; Zoran D. Mitrovic; Mudasir Younis; Stjan Radenovic

Volume 3, Issue 3 , Summer 2021, Pages 33-38
##### Abstract
This paper aims to prove that the Lipschitz constant in the Banach contraction principle belongs to the whole interval [0, 1) for all the six classes of spaces viz. metric spaces, b-metric ...  Read More

##### 4. On quasi hemi-slant submanifolds of LP-cosymplectic manifolds

Siddesha M S; Praveena M M; Bagewadi C S

Volume 3, Issue 3 , Summer 2021, Pages 39-49
##### Abstract
In this paper, we define and study quasi Hemi-slant submanifolds of Lorentzian almost contact metric manifolds. We mainly concern with quasi Hemi-slant submanifolds of LP-cosymplectic ...  Read More

##### 5. Some approximations for an equation in modular spaces

Mehdi Salehi Barough

Volume 3, Issue 3 , Summer 2021, Pages 51-64
##### Abstract
In this paper, we introduce and obtain the general solution of a new mixed type quadratic-cubic functional equation. We investigate the stability of such functional equations in the ...  Read More

##### 6. Controlled g-frames in Hilbert C*-modules

Nabin Kumar Sahu

Volume 3, Issue 3 , Summer 2021, Pages 65-82
##### Abstract
The controlled frame was introduced in 2010 by Balazs et al. [2], with the aim to improve the efficiency of the iterative algorithms constructed for inverting the frame operator. In ...  Read More

##### 1. On Palais method in b-metric like spaces

Nikola Mirkov; Zoran D. Mitrovic; Mudasir Younis; Stjan Radenovic

Volume 3, Issue 3 , Summer 2021, , Pages 33-38
##### Abstract
This paper aims to prove that the Lipschitz constant in the Banach contraction principle belongs to the whole interval [0, 1) for all the six classes of spaces viz. metric spaces, b-metric ...  Read More

##### 2. 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

##### 3. 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

##### 4. 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

##### 5. 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

##### 1. An existence result for a class of (p(x),q(x))-Laplacian system via sub-supersolution method

S Shakeri

Articles in Press, Accepted Manuscript, Available Online from 24 September 2021
##### Abstract
This study concerns the existence of positive solution for the following nonlinear boundary value problem\begin{gather*}-\Delta_{p(x)} u= a(x)h(u) + f(v) \quad\text{in }\Omega\\-\Delta_{q(x)} ...  Read More
##### 2. On closedness of convolution of two sets

Articles in Press, Accepted Manuscript, Available Online from 03 October 2021
##### Abstract
In this note, we give an abstract version of the fact that convolution of two closed and compact subsets of a hypergroup is a closed set.  Read More
##### 3. On a nonlinear abstract second-order integrodifferential equation part I

Mohammed Aijazuddin Hussain

Articles in Press, Accepted Manuscript, Available Online from 03 October 2021
##### Abstract
The object of this paper is to study the existence, uniqueness and continuation of the solutions of nonlinear second-order integrodifferential equations. In the theory of infinitesimal ...  Read More