Volume 2 (2020)
Volume 1 (2019)

Facts and Figures

Number of Volumes 3
Number of Issues 5
Number of Articles 33
Number of Contributors 58
Article View 1,720
PDF Download 1,197
View Per Article 52.12
PDF Download Per Article 36.27
On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces
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

http://dx.doi.org/10.30495/maca.2021.1932335.1014

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

Mohammad Reza Haddadi; Hossein Alaeidizaji; Vahid Parvaneh

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

http://dx.doi.org/10.30495/maca.2021.1929965.1011

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
On Palais method in b-metric like spaces
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

http://dx.doi.org/10.30495/maca.2021.1932449.1015

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
On quasi hemi-slant submanifolds of LP-cosymplectic manifolds
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

http://dx.doi.org/10.30495/maca.2021.1934998.1016

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

Mehdi Salehi Barough

Volume 3, Issue 3 , Summer 2021, Pages 51-64

http://dx.doi.org/10.30495/maca.2021.1935651.1018

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

Nabin Kumar Sahu

Volume 3, Issue 3 , Summer 2021, Pages 65-82

http://dx.doi.org/10.30495/maca.2021.1937063.1023

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
On Palais method in b-metric like spaces
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

http://dx.doi.org/10.30495/maca.2021.1932449.1015

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
Analytic differenceability of functions
2. Analytic differenceability of functions

Soodeh Mehboodi; Mohammad Hadi Hooshmand

Volume 3, Issue 1 , Winter 2021, , Pages 1-12

http://dx.doi.org/10.30495/maca.2021.680048

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
Stability of quartic functional equation in paranormed spaces
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

http://dx.doi.org/10.30495/maca.2021.1924046.1001

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
Intuitionistic fuzzy stability of the heptic functional equation
4. Intuitionistic fuzzy stability of the heptic functional equation

Mohammad Shafii Mousavi

Volume 3, Issue 2 , Spring 2021, , Pages 1-14

http://dx.doi.org/10.30495/maca.2021.1926769.1006

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

http://dx.doi.org/10.30495/maca.2021.680135

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

http://dx.doi.org/10.30495/maca.2021.1937515.1024

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
On closedness of convolution of two sets
2. On closedness of convolution of two sets

Seyyed Mohammad Tabatabaie

Articles in Press, Accepted Manuscript, Available Online from 03 October 2021

http://dx.doi.org/10.30495/maca.2021.1935853.1020

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
On a nonlinear abstract second-order integrodifferential equation part I
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

http://dx.doi.org/10.30495/maca.2021.1936023.1022

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
Numerical solution of a coupled system of fractional order integro differential equations by an efficient numerical method based on the second kind Chebyshev polynomials
4. Numerical solution of a coupled system of fractional order integro differential equations by an efficient numerical method based on the second kind Chebyshev polynomials

Mohammad Hossein Derakhshan

Articles in Press, Accepted Manuscript, Available Online from 09 October 2021

http://dx.doi.org/10.30495/maca.2021.1938222.1025

Abstract
  In this paper, an efficient numerical method based on operational matrices of the second kind Chebyshev polynomials is used for the solution of a coupled system of fractional-order ...  Read More
Bifuzzy d-algebras under norms
5. Bifuzzy d-algebras under norms

Rasul Rasuli

Articles in Press, Accepted Manuscript, Available Online from 18 October 2021

http://dx.doi.org/10.30495/maca.2021.1938454.1027

Abstract
  In this paper, by using norms (t-norms and t-conorms), we introduce the notions of bifuzzy d-algebras and bifuzzy d-ideals of d-algebras and investigate several interesting properties. ...  Read More

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