Authors:Ömer KİŞİ; Verda GÜRDAL Abstract: The aim of this article is to investigate triple $\Delta $-statistical convergent sequences in a neutrosophic normed space (NNS). Also, we examine the notions of $\Delta $-statistical limit points and $\Delta $-statistical cluster points and prove their important features. PubDate: Thu, 17 Mar 2022 00:00:00 +030
Authors:Emrah KARAMAN Abstract: In this work, an erratum for a proposition in the paper ‘‘A New Pre-Order Relation for Set Optimization using $\ell$-difference" is outlined. It was pointed out by Stefan Rocktäschel and Ernest Quintana that the proof of Proposition 3.11 is wrong in \cite{koc}. A small detail in the proof of Proposition 3.11 has been overlooked. A new proposition, which is closely related to Proposition 3.11 in \cite{koc}, is presented. The main results of the paper are not affected by this erratum. PubDate: Thu, 17 Mar 2022 00:00:00 +030
Authors:Dvivek VİVEK; Elsayed ELSAYED, Kangarajan K. Abstract: In the article, the existence of a solution for a class of boundary value problem for a fuzzy differential equation with finite delay is discussed. By applying the contraction mapping principle, we gain an existence of a solution. PubDate: Thu, 17 Mar 2022 00:00:00 +030
Authors:Süleyman ŞENYURT; Şeyda KILIÇOGLU Abstract: "How to find any $n^{th}$ order B\'{e}zier curve if we know its first, second, and third derivatives'" Hence we have examined the way to find the B\'{e}zier curve based on the control points with matrix form, while derivatives are given in $\mathbf{E}^{3}$. Further, we examined the control points of a cubic B\'{e}zier curve with given derivatives as an example. In this study first we have examined how to find any $n^{th}$ order Bezier curve with known its first, second and third derivatives, which are inherently, the $\left( n-1\right) ^{th}$ order, the $\left(n-2\right) ^{th}$ and the $\left( n-3\right) ^{th}$ Bezier curves in respective order. There is a lot of the number of B\'{e}zier curves with known the derivatives with control points. Hence to find a B\'{e}zier curve we have to choose any control point of any derivation\. In this study we have chosen two special points which are the initial point $P_{0}$ and the endpoint $P_{n}$. PubDate: Thu, 17 Mar 2022 00:00:00 +030
Authors:Elif OTKUN ÇEVİK Abstract: In this work, the gap between operator norm and spectral radius for the square of antidiagonal block operator matrices in the direct sum of Banach spaces has been investigated, and also the gap between operator norm and numerical radius for the square of same matrices in the direct sum of Hilbert spaces has been studied. PubDate: Thu, 17 Mar 2022 00:00:00 +030
Authors:Moslem AMİNİ NİA Abstract: In this paper, we introduce a concept of fixed point property for a semigroup $S$ called $A$-fixed point property, where $A$ is a non-empty subset of $S$. Also, the relationship between $A$-amenability and $A$-fixed point property is investigated. PubDate: Thu, 17 Mar 2022 00:00:00 +030