##### Volume 1 (2019)

Facts and Figures

 Number of Volumes 4 Number of Issues 7 Number of Articles 42 Number of Contributors 71 Article View 2,683 PDF Download 2,033 View Per Article 63.88 PDF Download Per Article 48.4

Mathematical Analysis and its Contemporary Applications (MACA) is an international peer-reviewed quarterly publication that publishes high-quality papers on all aspects of Energy and Sustainability. MACA is an open access publication, The following manuscript format can be published in the journal: Original article, short communication (brief report or brief communication), review article, systematic review and meta-analysis, Letter to editor, commentary and editorial.

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##### 1. Best simultaneous approximation in $L^{p}(S,X)$

Volume 4, Issue 1 , Winter 2022, Pages 1-7
##### 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 proximinality $W$ in $X$ and $L^p(S,W)$ in $L^p(S,X)$ for $1\leq p\leq\infty$. Also, we consider the relation between ...  Read More

##### 2. Perturbed second-order state-dependent Moreau's sweeping process

Doria Affane; Mustapha Fateh Yarou

Volume 4, Issue 1 , Winter 2022, Pages 9-23
##### 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 side of the problem is governed by the so-called nonconvex state-dependent sweeping process and contains a general perturbation ...  Read More

##### 3. On the zeros and critical points of a polynomial

Volume 4, Issue 1 , Winter 2022, Pages 25-28
##### 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 $P^\prime (z)= a_1 + \dots +(n-1) a_{n-1}z^{n-2}+nz^{n-1},$  lie in the convex hull of the zeros of   $P(z).$ Given a zero of ...  Read More

##### 4. Bicomplex valued bipolar metric spaces and fixed point theorems

Siva Gurusamy

Volume 4, Issue 1 , Winter 2022, Pages 29-43
##### 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 rational inequalities are proved for bicomplex valued bipolar metric spaces.  Read More

##### 5. Homotopy Perturbation Method with the help of Adomian decomposition method for nonlinear problems

Volume 4, Issue 1 , Winter 2022, Pages 45-51
##### Abstract
This paper concerns He's Homotopy Perturbation Method (HPM) which has been applied to solve some nonlinear differential equations. In HPM, at first, we construct a homotopy that satisfies an equation which is called the perturbation equation. Moreover, in this method, the solution is considered as power ...  Read More

##### 6. Common fixed point results for ω-compatible and ω-weakly compatible maps in modular metric spaces

Ljiljana R Paunovic; Parveen Kumar; Savita Malik; Manoj Kumar

Volume 4, Issue 1 , Winter 2022, Pages 53-70
##### Abstract
The aim of this paper is to prove a common fixed point theorem for two pairs of $\omega$-compatible and $\omega$-weakly compatible maps for extending and generalizing the results of Murthy and Prasad [12] in modular metric spaces. The main result is also illustrated by an example to demonstrate the degree ...  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 spaces, partial metric spaces, partial b-metric spaces, metric like space, and finally for more general spaces called ...  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. Since the Bernoulli and Euler polynomials have many similarities, so it motivated us to define differenceability ...  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 Rassias. This way shows that the concept of stability is related to some fixed point of a suitable operator.  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. t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras

Rasul Rasuli

Articles in Press, Accepted Manuscript, Available Online from 14 December 2021
##### 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 the links between them and investigate their properties. Finally, we consider them under intersection, cartesian product ...  Read More

##### 2. Automatic continuity of almost Jordan derivations on special Jordan Banach algebras

Articles in Press, Accepted Manuscript, Available Online from 25 January 2022
##### 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 in 1968. The concept of almost Jordan derivations on Jordan Banach algebras is introduced in this article. Also, Kaplansky ...  Read More

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