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

Soumeyeh Khaleghizadeh

Volume 4, Issue 1 , January 2022, Pages 45-51

https://doi.org/10.30495/maca.2021.1944809.1038

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 ...  Read More
Common fixed point results for ω-compatible and ω-weakly compatible maps in modular metric spaces
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 , January 2022, Pages 53-70

https://doi.org/10.30495/maca.2021.1944432.1036

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 ...  Read More