Volume 4 (2022)
Volume 3 (2021)
Volume 2 (2020)
Volume 1 (2019)
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 More2. Perturbed second-order state-dependent Moreau's sweeping process
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 More3. 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 More4. Bicomplex valued bipolar metric spaces and fixed point theorems
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 More5. 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 More6. Common fixed point results for ω-compatible and ω-weakly compatible maps in modular metric spaces
Volume 4, Issue 1 , Winter 2022, Pages 53-70