Generalized Ulam-Hyers stability of an alternate additive-quadratic-quartic functional equation in fuzzy Banach spaces
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 , February 2021, , Pages 13-31

https://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
On a nonlinear abstract second-order integrodifferential equation part I
On a nonlinear abstract second-order integrodifferential equation part I

Mohammed Aijazuddin Hussain

Volume 3, Issue 4 , December 2021, , Pages 13-24

https://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
Anti complex fuzzy Lie subalgebras under $S$-norms
Anti complex fuzzy Lie subalgebras under $S$-norms

Rasul Rasuli

Volume 4, Issue 4 , December 2022, , Pages 13-26

https://doi.org/10.30495/maca.2022.1952804.1049

Abstract
  The objectives of this article are to present the notions of anti complex fuzzy subalgebras and anti complex fuzzy ideals of Lie algebras under  $S$-norms and we prove that the ...  Read More
On character amenability of weighted convolution algebras on certain semigroups
On character amenability of weighted convolution algebras on certain semigroups

Kobra Oustad

Volume 3, Issue 2 , June 2021, , Pages 15-26

https://doi.org/10.30495/maca.2021.1928647.1007

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
The generalized Hyers–Ulam stability of derivations in non-Archimedean Banach algebras
The generalized Hyers–Ulam stability of derivations in non-Archimedean Banach algebras

Abolfazl Niazi Motlagh

Volume 2, Issue 1 , April 2020, , Pages 17-22

https://doi.org/10.30495/maca.2020.679852

Abstract
  In this paper, the generalized Hyers-Ulam stability of the functional inequality||f(a)+f(b)+cf(d)+f(c)d||≤||kf((a+b+cd)/k)||,      |k|<|2|,in non-Archimedean ...  Read More
t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras
t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras

Rasul Rasuli

Volume 4, Issue 2 , April 2022, , Pages 17-34

https://doi.org/10.30495/maca.2021.1942817.1034

Abstract
  In this paper, we use the notion of t-norms to introduce fuzzy subalgebras, fuzzy ideals, fuzzy implicative ideals, fuzzy positive implicative ideals in BCK-algebras. Next, we clarify ...  Read More
Intuitionistic fuzzy BCI-algebras (implicative ideals, closed implicative ideals, commutative ideals) under norms
Intuitionistic fuzzy BCI-algebras (implicative ideals, closed implicative ideals, commutative ideals) under norms

Rasul Rasuli

Volume 4, Issue 3 , June 2022, , Pages 17-34

https://doi.org/10.30495/maca.2022.1947637.1041

Abstract
  In this article, by using norms($T$ and $C$), we present the concept of intuitionistic fuzzy implicative ideals,  intuitionistic fuzzy closed implicative ideals and intuitionistic ...  Read More
Characterization of uniformly asymptotic S-Toeplitz and S-Hankel operators
Characterization of uniformly asymptotic S-Toeplitz and S-Hankel operators

Massoud Salehi Sarvestani; Massoud Amini

Volume 5, Issue 2 , July 2023, , Pages 17-28

https://doi.org/10.30495/maca.2023.1989709.1071

Abstract
  In this paper,  we show that a shift operator on a separable Hilbert space with infinite multiplicity is strongly approximated by shift operators with finite multiplicities. Moreover, ...  Read More
Locally finite inverse semigroups
Locally finite inverse semigroups

Somaye Grailoo Tanha

Volume 2, Issue 1 , April 2020, , Pages 23-27

https://doi.org/10.30495/maca.2020.679854

Abstract
  In this article, we study locally finite inverse semigroup S and characterize the structure of idempotents of S which are either a well-ordered countable chain or union of ...  Read More
n-projective modules in n-abelian category
n-projective modules in n-abelian category

Samira Hashemi; Feysal Hassani; Rasul Rasuli

Volume 5, Issue 3 , September 2023, , Pages 23-33

https://doi.org/10.30495/maca.2022.1965161.1063

Abstract
  In this paper, we introduce and clarify a new presentation between the n-exact sequence and the n-projective module. Also, we obtain some new results about them  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
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

Volume 3, Issue 4 , December 2021, , Pages 25-40

https://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
On the zeros and critical points of a polynomial
On the zeros and critical points of a polynomial

Mohammad Ibrahim Mir; Irfan Ahmad Wani; Ishfaq Nazir

Volume 4, Issue 1 , January 2022, , Pages 25-28

https://doi.org/10.30495/maca.2021.1938758.1028

Abstract
  Let $P(z)=a_0 + a_1z + \dots  + a_{n-1}z^{n-1}+z^n$ be a polynomial of degree $n.$  The Gauss-Lucas Theorem asserts that the zeros of the derivative $P^\prime (z)= a_1 + \dots ...  Read More
Fixed point results for generalized contractions in S-metric spaces
Fixed point results for generalized contractions in S-metric spaces

Khalil Javed; Fahim Uddin; Faizan Adeel; Muhammad Arshad; Hossein Alaeidizaji; Vahid Parvaneh

Volume 3, Issue 2 , June 2021, , Pages 27-39

https://doi.org/10.30495/maca.2021.1929557.1009

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

Mohammad Reza Haddadi; Hossein Alaeidizaji; Vahid Parvaneh

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

https://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
Quasi fixed points of contractions on semi cone metric spaces
Quasi fixed points of contractions on semi cone metric spaces

Gurusamy Siva

Volume 4, Issue 4 , December 2022, , Pages 27-37

https://doi.org/10.30495/maca.2022.1956857.1058

Abstract
  In this article, the concept of semi-metric spaces is extended to semi-cone metric spaces. Also, some theorems for quasi-fixed points of Banach contractions, Kannan's contractions, ...  Read More
Certain dense subalgebras of continuous vector-valued operator algebras
Certain dense subalgebras of continuous vector-valued operator algebras

Abbasali Shokri

Volume 2, Issue 1 , April 2020, , Pages 28-34

https://doi.org/10.30495/maca.2020.679855

Abstract
  Let X be a compact metric space with at least two elements, B be a unital commutative Banach algebra over the scalar field F=R or C, and α in R with 0<α≤1. Suppose ...  Read More
Bicomplex valued bipolar metric spaces and fixed point theorems
Bicomplex valued bipolar metric spaces and fixed point theorems

Siva Gurusamy

Volume 4, Issue 1 , January 2022, , Pages 29-43

https://doi.org/10.30495/maca.2021.1944542.1037

Abstract
  The concept of bicomplex valued bipolar metric space is introduced in this article, and some properties are derived. Also, some fixed point results of contravariant maps satisfying ...  Read More
Evaluation of integrals and series with uncommon methods
Evaluation of integrals and series with uncommon methods

Nicola Fabiano

Volume 5, Issue 2 , July 2023, , Pages 29-38

https://doi.org/10.30495/maca.2023.2002074.1076

Abstract
  Definite integrals and series are calculated using uncommon methods: Feynman's parametrization, Schwinger's representation, and Cauchy's complex integration for series.  Read More
Some results on disjointness preserving Fredholm operators between certain Banach function algebras
Some results on disjointness preserving Fredholm operators between certain Banach function algebras

Lida Mousavi; Sedigheh Hosseini

Volume 3, Issue 1 , February 2021, , Pages 32-39

https://doi.org/10.30495/maca.2021.1924698.1002

Abstract
  For two algebras $\A$ and $\B$, a linear map $T : \A \lo \B$ is disjointness preserving if $x \cdot y = 0$ implies $Tx \cdot Ty = 0$ for all $x, y \in \A$ and is said ...  Read More
On Palais method in b-metric like spaces
On Palais method in b-metric like spaces

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

Volume 3, Issue 3 , September 2021, , Pages 33-38

https://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
t-norms over complex fuzzy subgroups
t-norms over complex fuzzy subgroups

Rasul Rasuli

Volume 5, Issue 1 , March 2023, , Pages 33-49

https://doi.org/10.30495/maca.2022.1964436.1061

Abstract
  In this paper, by using t-norms, we define complex fuzzy subgroups and normal complex fuzzy subgroups and investigate some of their characteristics of them. Later we introduce and study ...  Read More
A new notion of affine sets
A new notion of affine sets

Paulraj Gnanachandra; Mohan Arunkumar

Volume 2, Issue 1 , April 2020, , Pages 35-42

https://doi.org/10.30495/maca.2020.679857

Abstract
  In this paper, we investigate the behaviour of e-convex sets and e-affine sets. Moreover, some notions like S(e,a,ρ,α) and e-affine cones are introduced and discussed. We ...  Read More
Exact controllability and continuous dependence of solution of a conformable fractional control system
Exact controllability and continuous dependence of solution of a conformable fractional control system

Sanjukta Das

Volume 4, Issue 2 , April 2022, , Pages 35-46

https://doi.org/10.30495/maca.2022.1947815.1042

Abstract
  The exact controllability of a conformable fractional differential system is established in this paper. The system is described by a non-densely defined linear part satisfying the Hille ...  Read More
Extension of the double Newton's method Convergence Order via the Bi-variate power series weight function for Solving Nonlinear Models.
Extension of the double Newton's method Convergence Order via the Bi-variate power series weight function for Solving Nonlinear Models.

Oghovese Ogbereyivwe; Simon Ajiroghene Ogumeyo

Volume 4, Issue 3 , June 2022, , Pages 35-46

https://doi.org/10.30495/maca.2022.1954323.1052

Abstract
  This manuscript put forward one and two-parameter families of modified double Newton iterative structure with convergence order six, for approximation of the solution of nonlinear model. ...  Read More
A survey on $\Theta$-contractions and fixed point theorems
A survey on $\Theta$-contractions and fixed point theorems

Oloche Paul; Shehu Shagari Mohammed

Volume 5, Issue 3 , September 2023, , Pages 35-67

https://doi.org/10.30495/maca.2023.2005470.1079

Abstract
  In this work, a collection of various fixed point results of $\Theta$-contractions are examined. Important results from when the concept was introduced up to the recent developments ...  Read More