Remarks on ``On new orthogonal contractions in b-metric spaces'' and ``On orthogonal partial b-metric spaces with an application''
Remarks on ``On new orthogonal contractions in b-metric spaces'' and ``On orthogonal partial b-metric spaces with an application''

Nicola Fabiano; Zoran Kadelburg; Stojan Radenovic; Milica Savatovic

Volume 5, Issue 4 , December 2023, , Pages 1-9

https://doi.org/10.30495/maca.2023.2012069.1088

Abstract
  The results published by O. Yamaod and W. Sintunavarat in [On new orthogonal contractions in b-metric spaces, Intern. J. Pure Math., 5,  2018, 37--40], and by K. Javed, H. Aydi, ...  Read More
Analysis of a class of frictional contact problem for elastic-viscoplastic piezoelectric thermal materials
Analysis of a class of frictional contact problem for elastic-viscoplastic piezoelectric thermal materials

Ahmed Hamidat

Volume 5, Issue 4 , December 2023, , Pages 11-31

https://doi.org/10.30495/maca.2023.2007430.1082

Abstract
  We consider a quasistatic frictional contact problem with a subdifferential boundary condition for general thermo-electro-elastic-viscoplastic materials. The frictional contact is modeled ...  Read More
On some classes of invariant submanifolds of Kenmotsu manifolds
On some classes of invariant submanifolds of Kenmotsu manifolds

Siddesha M.S.; Bagewadi C.S.

Volume 5, Issue 4 , December 2023, , Pages 33-40

https://doi.org/10.30495/maca.2023.2010024.1086

Abstract
  This paper focuses on investigating invariant submanifolds within Kenmotsu manifolds. Specifically, it explores cases where these submanifolds meet the Tachibana conditions related ...  Read More
Fixed point theorem of Integral type mapping in $S_{b}$ -metric space
Fixed point theorem of Integral type mapping in $S_{b}$ -metric space

Pravin Kumar Bhikhabhai Prajapati

Volume 5, Issue 4 , December 2023, , Pages 41-53

https://doi.org/10.30495/maca.2023.2007874.1084

Abstract
  The purpose of this paper is to establish the existence and uniqueness of a common coupled Fxed point result in the framework of complete symmetric $S_{b}$ -metric space. The obtained ...  Read More
Investigated on Neutrosophic 2-normed I-convergenct double sequence spaces with bounded linear operator
Investigated on Neutrosophic 2-normed I-convergenct double sequence spaces with bounded linear operator

Jeyaraman Mathuraiveeran; S. Iswariya

Volume 5, Issue 4 , December 2023, , Pages 55-69

https://doi.org/10.30495/maca.2023.2011241.1087

Abstract
  The research here that we develop an operator of bounded linear method generates certain Neutrosophic 2-normed double sequence spaces of I -convergent that are specifying their followed ...  Read More
Solution of an infinite system of fractional differential equations in tempered sequence space
Solution of an infinite system of fractional differential equations in tempered sequence space

Rahul Rahul; Sukanta Halder; Nihar Kumar Mahato

Volume 5, Issue 4 , December 2023, , Pages 71-90

https://doi.org/10.30495/maca.2023.2009474.1085

Abstract
  In this article, we study an infinite system of fractional differential equations involving a generalized Caputo-Fabrizio fractional operator. By using Darbo’s fixed point theorem ...  Read More
Non-stabilities of mixed type Euler-Lagrange k-cubic-quartic functional equation in various normed spaces
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 , February 2019, , Pages 1-43

https://doi.org/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) = ...  Read More
Toeplitzness of weighted composition operators
Toeplitzness of weighted composition operators

Massoud Salehi Sarvestani

Volume 2, Issue 1 , April 2020, , Pages 1-8

https://doi.org/10.30495/maca.2020.679850

Abstract
  For a bounded analytic map ψ on the unit disk D and analytic self-map  φ of D, a weighted composition operator Cψ,φ on the Hardy space H2=H2(D) is ...  Read More
Analytic differenceability of functions
Analytic differenceability of functions

Soodeh Mehboodi; Mohammad Hadi Hooshmand

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

https://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
Intuitionistic fuzzy stability of the heptic functional equation
Intuitionistic fuzzy stability of the heptic functional equation

Mohammad Shafii Mousavi

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

https://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
On various types of compatible Jungck--Rhoades pairs of mappings in C*-algebra valued metric spaces
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 , September 2021, , Pages 1-25

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

Saleh Shakeri

Volume 3, Issue 4 , December 2021, , Pages 1-8

https://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
Best simultaneous approximation in $L^{p}(S,X)$
Best simultaneous approximation in $L^{p}(S,X)$

Mohammad Valaei Anvar; Mohammad R Haddadi

Volume 4, Issue 1 , January 2022, , Pages 1-7

https://doi.org/10.30495/maca.2021.1935786.1019

Abstract
  As a counterpart to the best approximation in normed linear spaces, the best simultaneous approximation was introduced. In this paper, we shall consider relation between simultaneous ...  Read More
Some critical remarks of recent results on F-contractions in b-metric spaces
Some critical remarks of recent results on F-contractions in b-metric spaces

Mudasir Younis; Nicola Fabiano; Mirjana Pantovic; Stojan Radenovic

Volume 4, Issue 2 , April 2022, , Pages 1-10

https://doi.org/10.30495/maca.2022.1948245.1043

Abstract
  In this paper, we analyze, generalize and correct some recent results on F-contractions within b-metric spaces. In all results, our only assumption is the strict growth of the function ...  Read More
On some new observations on Kurepa's left factorial
On some new observations on Kurepa's left factorial

Nicola Fabiano; Nikola Mirkov; Zoran D. Mitrovic; Stojan Radenovic

Volume 4, Issue 3 , June 2022, , Pages 1-8

https://doi.org/10.30495/maca.2022.1950392.1047

Abstract
  After a brief historical excursus, we prove in a simple way some properties of Kurepa's function, the left factorial. We introduce Kurepa's hypothesis,  propose a new description, ...  Read More
On various properties of module Lau product of algebras
On various properties of module Lau product of algebras

Prakash A. Dabhi; Yuvraj D. Pipaliya

Volume 4, Issue 4 , December 2022, , Pages 1-12

https://doi.org/10.30495/maca.2022.1955532.1055

Abstract
  Let $\mathcal{A},$ $\mathcal{B},$ and $\mathcal{X}$ be complex algebras, $\theta : \mathcal{B} \longrightarrow \mathcal{X}$ be an algebra homomorphism, and let $\mathcal{A}$ be an $\mathcal{X}$-bimodule. ...  Read More
Advancements in metric-like spaces with related fixed point results
Advancements in metric-like spaces with related fixed point results

Chiroma Rhoda; Mohammed Shehu Shagari; Musa Balarabe

Volume 5, Issue 1 , March 2023, , Pages 1-32

https://doi.org/10.30495/maca.2022.1967959.1064

Abstract
  In this paper, various fixed point results on metric-like spaces are collected. Important findings from the beginning up to the recent developments are discussed. Hence, the aim of ...  Read More
Parameterised eight order iterative structures requiring no function derivative for solving nonlinear equation
Parameterised eight order iterative structures requiring no function derivative for solving nonlinear equation

Oghovese Ogbereyivwe; Salisu Shehu Umar

Volume 5, Issue 2 , July 2023, , Pages 1-16

https://doi.org/10.30495/maca.2023.1990834.1072

Abstract
  In this work, the function derivatives in the double Newton iterative structure were annihilated by the use of function estimation with polynomial interpolation and divided difference ...  Read More
2-simultaneous quasi-Chebyshev and weakly-Chebyshev subspaces in quotient generalized 2-normed spaces
2-simultaneous quasi-Chebyshev and weakly-Chebyshev subspaces in quotient generalized 2-normed spaces

Majid Abrishami-Moghaddam

Volume 5, Issue 3 , September 2023, , Pages 1-10

https://doi.org/10.30495/maca.2023.2000990.1074

Abstract
  In this paper, we present characterizations of 2-simultaneous quasi-Chebyshevity and 2-simultaneous weakly Chebyshevity in quotient generalized 2-normed spaces.  Read More
Some Analytical Properties of the Hyperbolic Sine Integral
Some Analytical Properties of the Hyperbolic Sine Integral

Kwara Nantomah

Volume 6, Issue 1 , March 2024, , Pages 1-14

https://doi.org/10.30495/maca.2024.2014798.1090

Abstract
  By using some tools of analysis, we establish some analytical properties such as monotonicity and inequalities involving the hyperbolic sine integral function. As applications of some ...  Read More
A simple method to solve nonlinear Volterra-Fredholm integro-differential equations
A simple method to solve nonlinear Volterra-Fredholm integro-differential equations

Mohsen Mohamadi; Amir Shahmari

Volume 2, Issue 1 , April 2020, , Pages 9-16

https://doi.org/10.30495/maca.2020.679851

Abstract
  In this paper, a new simple direct method to solve nonlinear Fredholm-Volterra integral equations is presented. By using Block-pulse (BP) functions, their operational matrices and Taylor ...  Read More
Perturbed second-order state-dependent Moreau's sweeping process
Perturbed second-order state-dependent Moreau's sweeping process

Doria Affane; Mustapha Fateh Yarou

Volume 4, Issue 1 , January 2022, , Pages 9-23

https://doi.org/10.30495/maca.2021.1938811.1029

Abstract
  In this paper, using a discretization approach, the existence of solutions for a class of second-order differential inclusions is stated in finite dimensional setting. The right hand ...  Read More
Stability analysis of transmitter receptors model
Stability analysis of transmitter receptors model

Dhamodharan D; B. Mohamed Harif; Bonyah Ebenezer

Volume 4, Issue 3 , June 2022, , Pages 9-16

https://doi.org/10.30495/maca.2022.1953296.1051

Abstract
  The Jumarie fractional-order transmitter receptors model is discussed in this paper. Transmitter receptors can be found in a variety of states, including accumulated, freed, combined ...  Read More
Automatic continuity of almost Jordan derivations on special Jordan Banach algebras
Automatic continuity of almost Jordan derivations on special Jordan Banach algebras

Ganesa Moorthy Chinnadurai; Siva Gurusamy

Volume 4, Issue 2 , April 2022, , Pages 11-16

https://doi.org/10.30495/maca.2022.1946498.1040

Abstract
  The following is the question form of Kaplansky conjecture of 1958. Is every derivation on semisimple Banach algebra continuous? Kaplansky conjecture was proved by Johnson and Sinclair ...  Read More