Mathematics, Volume 6, Issue 11

The vertex k-partiteness of graph G is defined as the fewest number of vertices whose deletion from G yields a k-partite graph. In this paper, we characterize the extremal value of the reformulated first Zagreb index, the multiplicative-sum Zagreb in...

There is a fairly widespread belief that the problem of existence is not an essential issue for logic. Logic, though formal, must deal with the problem of existence. However, logic should be limited to describing “formal existence” or &ld...

In 1978, the domain of the Nörlund matrix on the classical sequence spaces l_p and l_∞ was introduced by Wang, where 1 ≤ p < ∞. Tuğ and Başar studied the matrix domain of Nörlund mean on the sequence spaces f₀ and f in 2016....

The identification of a reduced dimensional representation of the data is among the main issues of exploratory multidimensional data analysis and several solutions had been proposed in the literature according to the method. Principal Component Analy...

In this article, a methodology is developed to solve an interval and a fractional interval programming problem by converting into a non-interval form for second order cone constraints, with the objective function and constraints being interval valued...

Let g be an analytic function with the normalization in the open unit disk. Let $L\left(r\right)$ be the length of $g\left(\right\{z:\left|z\right|=r\left\}\right)$ . In this paper we present a correspondence between g and $L\left(r\right)$ for the case when g is not neces...

In this paper, we introduce the concepts of an $\alpha$ -admissible nonself-mapping, an $\alpha$ -F-contractive nonself-mapping, a weak $\alpha$ -F-contractive nonself-mapping, and a generalized $\alpha$ -F-contractive nonself-mapping...

Background: People want to be able to evaluate different kinds of information in a good way. There are various methods that they develop in such situations. Among the optimization methods, the goal programming method is often used when there are mult...

In this paper, we introduce the notion of $(\alpha ,\beta ,\psi )$ -contraction for a pair of mappings $(S,T)$ defined on a set X. We use our new notion to create and prove a common fixed point theorem for two mappings defined on...

In this paper, we introduce a new concept of random $\alpha$ -proximal admissible and random $\alpha$ - $\mathcal{Z}$ -contraction. Then we establish random best proximity point theorems for such mapping in complete separable metric spaces.

In the present work, a sharp bound on the modulus of the initial coefficients for powers of strongly Bazilević functions is obtained. As an application of these results, certain conditions are investigated under which the Littlewood-Paley conjecture...

This article deals with the mathematical modeling of Tsallis entropy in fuzzy dynamical systems. At first, the concepts of Tsallis entropy and Tsallis conditional entropy of order $q,$ where $q$ is a positive real number not equal to 1, of...

The present paper intends to introduce the hybrid form of q-special polynomials, namely q-Hermite-Appell polynomials by means of generating function and series definition. Some significant properties of q-Hermite-Appell polynomials such as determinan...

A statistical structure is considered as a generalization of a pair of a Riemannian metric and its Levi-Civita connection. With a pair of conjugate connections ∇ and ${\nabla }^{*}$ in the Sasakian statistical structure, we provide the norm...

The convergence order of numerous iterative methods is obtained using derivatives of a higher order, although these derivatives are not involved in the methods. Therefore, these methods cannot be used to solve equations with functions that do not hav...

Cooperative games endowed with interval-valued payoffs are studied in this paper. Based on the interval-valued payoff and the different types of orderings, we can propose many types of so-called interval-valued cores and interval-valued dominance cor...

This paper uses the viscosity implicit midpoint rule to find common points of the fixed point set of a nonexpansive mapping and the zero point set of an accretive operator in Banach space. Under certain conditions, this paper obtains the strong conve...

By giving a counter-example, we point out a gap in the paper by Karapinar (Adv. Theory Nonlinear Anal. Its Appl. 2018, 2, 85–87) where the given fixed point may be not unique and we present the corrected version. We also state the celebrated fi...

I have found an error in Equation (17) in my paper [1] [...]

We explore the use of inverse multiquadratic (IMQ) functions as basis functions when solving the vibrational Schrödinger equation with the rectangular collocation method. The quality of the vibrational spectrum of formaldehyde (in six dimensions...

There are situations in which one needs to write various kinds of mathematical expressions, such as practicing tests and school exams. There is a variety of methods to produce such expressions, but they are usually based on a database. This paper add...

The main aim of this paper is to contribute to the recently initiated research concerning geometric constructions of means, where the variables are appearing as line segments. The present study shows that all Lehmer means of two variables for integer...

In this article, we establish bounds of sum of the left and right sided Riemann Liouville (RL) fractional integrals and related inequalities in general form. A new and novel approach is followed to obtain these results for general Riemann Liouville (...

In this paper, we propose a new method, which is called the combination projection method (CPM), for solving the convex feasibility problem (CFP) of finding some $x^{*}\in C:={\cap }_{i=1}^m\{x\in \mathcal{H}|c_i(x)\le 0\}$ ,...

Community structure as summarized by presence–absence data is often evaluated via diversity measures by incorporating taxonomic, phylogenetic and functional information on the constituting species. Most commonly, various dissimilarity coefficie...

We present the state-of-the-art on maximum symmetric tensor rank, for each given dimension and order. After a general discussion on the interplay between symmetric tensors, polynomials and divided powers, we introduce the technical environment and th...

Let M be a three-dimensional trans-Sasakian manifold of type $(\alpha ,\beta )$ . In this paper, we obtain that the Ricci operator of M is invariant along Reeb flow if and only if M is an $\alpha$ -Sasakian manifold, cosymplectic manifol...

In this paper, we implement reproducing kernel Hilbert space method to tenth order boundary value problems. These problems are important for mathematicians. Different techniques were applied to get approximate solutions of such problems. We obtain so...

Let $f\left(z\right)=z+{\displaystyle \sum }_{n=2}^{\infty }{a}_n{z}^n$ and $g_{p,b,c}\left(z\right)=z+{\displaystyle \sum }_{n=2}^{\infty }\frac{{\left(-\frac{c}{4}\right)}^{n-1}}{{\left(\frac{3}{2}\right)}_{n-1}{\left(k\right)}_{n-1}}{z}^n$ with ...

In this work, we introduced new notions of a new contraction named $S$ -weakly contraction; after that, we obtained the p-common best proximity point results for different types of contractions in the setting of complete metric spaces by using wea...

Consider an undirected and connected graph $G=(V_G,E_G)$ , where $V_G$ and $E_G$ represent the set of vertices and the set of edges respectively. The concept of edge version of metric dimension and doubly resolving sets is...

In this paper, firstly, we introduced a second order non-linear recursive sequence, then we use this sequence and the combinatorial methods to perform a deep study on the computational problem concerning one kind sums, which includes the Chebyshev po...

The pharmaceutical industry has witnessed exponential growth in transforming operations towards continuous manufacturing to increase profitability, reduce waste and extend product ranges. Model predictive control (MPC) can be applied to enable this v...

In this paper, we define new Daehee numbers, the degenerate Daehee numbers of the third kind, using the degenerate log function as generating function. We obtain some identities for the degenerate Daehee numbers of the third kind associated with the...

This paper introduces a new numerical approach to solving a system of fractional differential equations (FDEs) using the Legendre wavelet operational matrix method (LWOMM). We first formulated the operational matrix of fractional derivatives in some...

Koam and Pirashivili developed the equivariant version of Hochschild cohomology by mixing the standard chain complexes computing group with associative algebra cohomologies to obtain the bicomplex $\tilde{C}{}_G^{*}(A,X)$. In this paper, we...

There are several equivalent axioms, which can be used to characterize the positive implicativity in $BCK$ -algebras. In this paper, we investigate interrelationships among such axioms in a more general setting of groupoids, and several aspect...

The Hamy mean (HM) operator, as a useful aggregation tool, can capture the correlation between multiple integration parameters, and the 2-tuple linguistic Pythagorean fuzzy numbers (2TLPFNs) are a special kind of Pythagorean fuzzy numbers (PFNs), whi...

This note is a short survey of nonnegative tensors, primarily from the geometric point of view. In addition to basic definitions, we discuss properties of and questions about nonnegative tensors, which may be of interest to geometers.

The main purpose of this article is to construct inequalities between a main intrinsic invariant (the normalized scalar curvature) and an extrinsic invariant (the Casorati curvature) for some submanifolds in a Sasakian manifold with a zero C-Bochner...

The aim of this article is to present a unified semi-local convergence analysis for a k-step iterative method containing the inverse of a flexible and frozen linear operator for Banach space valued operators. Special choices of the linear operator re...

The concept of neutrosophic set from philosophical point of view was first considered by Smarandache. A single-valued neutrosophic set is a subclass of the neutrosophic set from a scientific and engineering point of view and an extension of intuition...

In this article, we present up to date results on the balanced model reduction techniques for linear control systems, in particular the singular perturbation approximation. One of the most important features of this method is it allows for an a prior...

One approach to study various stability properties of solutions of nonlinear Caputo fractional differential equations is based on using Lyapunov like functions. A basic question which arises is the definition of the derivative of the Lyapunov like fu...

In this paper, we study inextensible flows of a curve on a lightlike surface in Minkowski three-space and give a necessary and sufficient condition for inextensible flows of the curve as a partial differential equation involving the curvatures of the...

Using a multisensory interface system, we examined how people’s emotional experiences change as their tactile sense (touching a plant) was augmented with visual sense (“seeing” their touch). Our system (the Interactive Plant system)...

We consider a new kind of helicoidal surface for natural numbers $(m,n)$ in the three-dimensional Euclidean space. We study a helicoidal surface of value $(m,n)$ , which is locally isometric to a rotational surface of value $(m$...

Given a (molecular) graph, the first multiplicative Zagreb index ${\Pi }_1$ is considered to be the product of squares of the degree of its vertices, while the second multiplicative Zagreb index ${\Pi }_2$ is expressed as the product of endve...

Interval-valued Pythagorean fuzzy numbers (IVPFNs) can easily describe the incomplete and indeterminate information by degrees of membership and non-membership, and the Hamy mean (HM) operator and dual HM (DHM) operators are a good tool for dealing w...

Based on the concepts of contractive conditions due to Suzuki (Suzuki, T., A generalized Banach contraction principle that characterizes metric completeness, Proceedings of the American Mathematical Society, 2008, 136, 1861–1869) and Jleli (Jle...