Volume 4 (2022)
Volume 3 (2021)
Volume 2 (2020)
Volume 1 (2019)
Number of Articles: 6
Best simultaneous approximation in $L^{p}(S,X)$
Volume 4, Issue 1 , January 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 ... Read More
Perturbed second-order state-dependent Moreau's sweeping process
Volume 4, Issue 1 , January 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 ... Read More
On the zeros and critical points of a polynomial
Volume 4, Issue 1 , January 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 ... Read More
Bicomplex valued bipolar metric spaces and fixed point theorems
Volume 4, Issue 1 , January 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 ... Read More
Homotopy Perturbation Method with the help of Adomian decomposition method for nonlinear problems
Volume 4, Issue 1 , January 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 ... Read More
Common fixed point results for ω-compatible and ω-weakly compatible maps in modular metric spaces
Volume 4, Issue 1 , January 2022, Pages 53-70