Journal of New Researches in Mathematics: 24 (24)

Open Access Article

1 - THE ROPER-SUFFRIDGE EXTENSION OPERATORS ON THE CLASS OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE $beta$ AND ORDER $alpha$
Samira Rahrovi H. piri

Let$mathbb{C}^n$ be the space of $n$ complex variables. Let$Omega_{n,p_2,ldots,p_n}$ be a complete Reinhardt on$mathbb{C}^n$. The Minkowski functional on complete Reinhardt$Omega_{n,p_2,ldots,p_n}$ is denoted by $rho(z)$. The concept ofspirallike mapping of type $beta$ More

Let$mathbb{C}^n$ be the space of $n$ complex variables. Let$Omega_{n,p_2,ldots,p_n}$ be a complete Reinhardt on$mathbb{C}^n$. The Minkowski functional on complete Reinhardt$Omega_{n,p_2,ldots,p_n}$ is denoted by $rho(z)$. The concept ofspirallike mapping of type $beta$ and order $alpha$ is defined.So, the concept of the strong and almost spirallike mappings of type$beta$ and order $alpha$ is discussed in this paper. From theSchwarz-Pick lemma, under certain conditions, we obtain that thegeneralized Roper-Suffridge operators preserve strong and almostspirallikeness of type $beta$ and order $alpha$ on bounded andcomplete Reinhardt domains $Omega_{n,p_1,cdots,p_n}$. For specificvalues for $alpha$ and $beta$, we obtain the correspondingdefinitions of strong spirallike mappings of type $beta$, strongand almost starlike mappings of order $alpha$, strong starlikemappings. Therefore we obtain the generalized Roper-Suffridgeoperators preserve strong spirallikeness of type $beta$, strong andalmost starlikeness of order $alpha$, strong starlikeness on thecorresponding domains. In particular, our results reduce to manywell-known results. Manuscript profile

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2 - Hoph Hypersurfaces of Sasakian Space Form with Parallel Ricci Operator Esmaiel Abedi, Mohammad Ilmakchi Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran
Esmaiel Abedi Mohammad Ilmakchi

Let M^2n be a hoph hypersurfaces with parallel ricci operator and tangent to structure vector field in Sasakian space form. First, we show that structures and properties of hypersurfaces and hoph hypersurfaces in Sasakian space form. Then we study the structure of hyper More

Let M^2n be a hoph hypersurfaces with parallel ricci operator and tangent to structure vector field in Sasakian space form. First, we show that structures and properties of hypersurfaces and hoph hypersurfaces in Sasakian space form. Then we study the structure of hypersurfaces and hoph hypersurfaces with a parallel ricci tensor structure and show that there are two cases. In the first case, the shape operator A of M^2n had been constant fixed main curvatures and the maximum of the main curvatures has three distinct. In the second case, the shape operator A of M^2n on D united with zero and M^2n has sn integral manifold that takes the structure of Sasakian space form. Then first by defining a vector field in M^2n show that the integral curve of this vector field in M^2n is geodesy and also by defining a hypersurface in M^2n show that this hypersurface in M^2n is totally geodesic and finally; we show that M^2n is locally the product of these totally geodesic hypersurface with the geodesy curve. Manuscript profile

Open Access Article

3 - Numerical solution of the spread of infectious diseases mathematical model based on shifted Bernstein polynomials
Farshid Mirzaee Seyede Fatemeh Hoseini Sahar Alipour

The Volterra delay integral equations have numerous applications in various branches of science, including biology, ecology, physics and modeling of engineering and natural sciences. In many cases, it is difficult to obtain analytical solutions of these equations. So, n More

The Volterra delay integral equations have numerous applications in various branches of science, including biology, ecology, physics and modeling of engineering and natural sciences. In many cases, it is difficult to obtain analytical solutions of these equations. So, numerical methods as an efficient approximation method for solving Volterra delay integral equations are of interest to many researchers. In this paper, a numerical method is developed for solving the Hammerstein–Volterra delay integral equation by least squares (LS) approximation method, which is based on Shifted Bernstein polynomials (BPs). This equation is a mathematical model for the spread of certain infectious diseases with a constant rate that varies seasonally. Least squares method is a mathematical model for data fiting which minimizes the sum of squared the difference between an observed value and the value provided by a model. In this paper, the shifted Bernstein polynomials are introduced and then approximation of an arbitrary function by using these polynomials is presented . Also, the Hammerstein–Volterra delay integral equation is introduced and the details of least squares method for solving a mathematical model is presented. Finally, we show the efficiency of the proposed method by solving two numerical examples and comparing the results with other methods. Manuscript profile

Open Access Article

4 - POINT DERIVATIONS ON BANACH ALGEBRAS OF α-LIPSCHITZ VECTOR-VALUED OPERATORS
Abbasali Shokri

The Lipschitz function algebras were first defined in the 1960s by some mathematicians, including Schubert. Initially, the Lipschitz real-value and complex-value functions are defined and quantitative properties of these algebras are investigated. Over time these algebr More

The Lipschitz function algebras were first defined in the 1960s by some mathematicians, including Schubert. Initially, the Lipschitz real-value and complex-value functions are defined and quantitative properties of these algebras are investigated. Over time these algebras have been studied and generalized by many mathematicians such as Cao, Zhang, Xu, Weaver, and others. Let be a non-empty compact metric space and be a unital commutative Banach space over the scalar field , and . In this paper, we first introduce the Banach algebras of vector-valued (B-valued) -Lipschitz operators on , and , then we study the point derivations on them. In the main results of this paper, we prove that all continuous point derivatives on are zero, and at any non-isolated point X, there is a non-zero continuous point derivation on . Manuscript profile

Open Access Article

5 - On quasi-Armendariz skew monoid rings
Mohammad Habibi Ahmad Moussavi Raoufeh Manaviyat

Let $R$ be a unitary ring with an endomorphism $σ$ and $F∪{0}$ be the free monoid generated by $U={u_1,…,u_t}$ with $0$ added, and $M$ be a factor of $F$ setting certain monomial in $U$ to $0$, enough so that, for some natural number $n$, $M^n=0$. In th More

Let $R$ be a unitary ring with an endomorphism $σ$ and $F∪{0}$ be the free monoid generated by $U={u_1,…,u_t}$ with $0$ added, and $M$ be a factor of $F$ setting certain monomial in $U$ to $0$, enough so that, for some natural number $n$, $M^n=0$. In this paper, we give a sufficient condition for a ring $R$ such that the skew monoid ring $R*M$ is quasi-Armendariz (By Hirano a ring $R$ is called quasi-Armendariz if whenever $f(x)=Σa_ix^i$ and $g(x)=Σb_jx^j$ in $R[x]$ satisfy $f(x)R[x]g(x)=0$, we have $a_iRb_j=0$ for every $0leq i leq m$ and $0leq j leq n$) and provide rich classes of non-semiprime quasi-Armendariz rings. Let $R$ be a unitary ring with an endomorphism $σ$ and $F∪{0}$ be the free monoid generated by $U={u_1,…,u_t}$ with $0$ added, and $M$ be a factor of $F$ setting certain monomial in $U$ to $0$, enough so that, for some natural number $n$, $M^n=0$. In this paper, we give a sufficient condition for a ring $R$ such that the skew monoid ring $R*M$ is quasi-Armendariz (By Hirano a ring $R$ is called quasi-Armendariz if whenever $f(x)=Σa_ix^i$ and $g(x)=Σb_jx^j$ in $R[x]$ satisfy $f(x)R[x]g(x)=0$, we have $a_iRb_j=0$ for every $0leq i leq m$ and $0leq j leq n$) and provide rich classes of non-semiprime quasi-Armendariz rings. Manuscript profile

Open Access Article

6 - Numerical solution of Voltra algebraic integral equations by Taylor expansion method
Azizollah Babakhani E. Enteghami H. Hosseinzade

Algebraic integral equations is a special category of Volterra integral equations system, that has many applications in physics and engineering. The principal aim of this paper is to serve the numerical solution of an integral algebraic equation by using the Taylor expa More

Algebraic integral equations is a special category of Volterra integral equations system, that has many applications in physics and engineering. The principal aim of this paper is to serve the numerical solution of an integral algebraic equation by using the Taylor expansion method. In this method, using the Taylor expansion of the unknown function, the algebraic integral equation system becomes a linear equation system of the unknown function and its derivatives. Moreover, the convergence analysis of this method will be shown by preparing some theorems. Several examples are included to illustrate the efficiency and accuracy of the proposed technique and also the results are compared with the different methods. Manuscript profile

Open Access Article

7 - Pseudo-Valuation ‏‎Near ‎ring‎ and Pseudo-Valuation N-group in Near Rings
TAHEREH ROUDBARYLOR MAHDIEH SADEGHI GOUGHERI

In this paper, persents the definitions of strongly prime ideal, strongly prime N-subgroup, Pseudo-valuation near ring and Pseudo-valuation N-group. Some of their properties have also been proven by theorems. Then it is shown that, if N be near ring with quotient near-f More

In this paper, persents the definitions of strongly prime ideal, strongly prime N-subgroup, Pseudo-valuation near ring and Pseudo-valuation N-group. Some of their properties have also been proven by theorems. Then it is shown that, if N be near ring with quotient near-field K and P be a strongly prime ideal of near ring N, then is a strongly prime ideal of &lrm;&lrm;, for any multiplication subset S of N. In addition, they obtained the relation between strongly prime ideal and strongly prime N-group, and also between Pseudo-valuation near ring and Pseudo-valuation N-subgroup. It has also shown that if every N-subgroup be ideal of M and P be a strongly prime N-subgroup of M, then (P: M) is a strongly prime ideal of N. And in the end it is proved that if P&lrm;&lrm; and L of &lrm;N-subgroups M&lrm; and Psubset of L &lrm;such &lrm;that &lrm;for &lrm;any&lrm; y in K &lrm;,y-1P subset of P , then L is a strongly prime N-subgroup of M if and only if L/p &lrm;is a &lrm;strongly &lrm;prime &lrm;N-subgroup &lrm;of&lrm; M/p . Manuscript profile

Open Access Article

8 - Coefficient estimates for a class of meromorphic bi-univalent functions
Safa Salehian Ahmad Motamednezhad

Let 𝝨 be the class of meromorphic bi-univalent functions f of the formf(z)=z+b_0+∑_(n=1)^∞▒b_n/z^n ,which are univalent (analytic and one to one) on the domain Δ={z∈C∶1

Let 𝝨 be the class of meromorphic bi-univalent functions f of the formf(z)=z+b_0+∑_(n=1)^∞▒b_n/z^n ,which are univalent (analytic and one to one) on the domain Δ={z∈C∶1 Manuscript profile

Open Access Article

9 - Incidence dominating numbers of graphs
Parisa Azizi Keshavarz Abolfazl . Tehranian

In this paper, the concept of incidence domination number of graphs is introduced and the incidence dominating set and the incidence domination number of some particular graphs such as paths, cycles, wheels, complete graphs and stars are studied.

In this paper, the concept of incidence domination number of graphs is introduced and the incidence dominating set and the incidence domination number of some particular graphs such as paths, cycles, wheels, complete graphs and stars are studied. Manuscript profile

Open Access Article

10 - An efficient one-layer recurrent neural network for solving a class of nonsmooth optimization problems
Mohammad Javad Ebadi Alireza Hosseini Hossein Jafari

Constrained optimization problems have a wide range of applications in science, economics, and engineering. In this paper, a neural network model is proposed to solve a class of nonsmooth constrained optimization problems with a nonsmooth convex objective function subje More

Constrained optimization problems have a wide range of applications in science, economics, and engineering. In this paper, a neural network model is proposed to solve a class of nonsmooth constrained optimization problems with a nonsmooth convex objective function subject to nonlinear inequality and affine equality constraints. It is a one-layer non-penalty recurrent neural network based on the differential inclusion. Unlike most of the existing neural network models, there is neither a penalty parameter nor a penalty function in its structure. It has less complexity which leads to the easier implementation of the model for solving optimization problems. The equivalence of optimal solutions set of the main optimization problem and the equilibrium points set of the model is proven. Moreover, the global convergence and the stability of the introduced neural network are shown. Some examples including the L1-norm minimization problem are given and solved by the proposed model to illustrate its performance and effectiveness. Manuscript profile

Open Access Article

11 - Existence of at least three weak solutions for a quasilinear elliptic system
Saeed. shokouh

In this paper, applying two theorems of Ricceri and Bonanno, we will establish the existence of three weak solutions for a quasilinear elliptic system. Indeed, we will assign a differentiable nonlinear operator to a differential equation system such that the critical po More

In this paper, applying two theorems of Ricceri and Bonanno, we will establish the existence of three weak solutions for a quasilinear elliptic system. Indeed, we will assign a differentiable nonlinear operator to a differential equation system such that the critical points of this operator are weak solutions of the system. In this paper, applying two theorems of Ricceri and Bonanno, we will establish the existence of three weak solutions for a quasilinear elliptic system. Indeed, we will assign a differentiable nonlinear operator to a differential equation system such that the critical points of this operator are weak solutions of the system. In this paper, applying two theorems of Ricceri and Bonanno, we will establish the existence of three weak solutions for a quasilinear elliptic system. Indeed, we will assign a differentiable nonlinear operator to a differential equation system such that the critical points of this operator are weak solutions of the system. Manuscript profile

Open Access Article

12 - Supply chain network design with multi- mode demand based on acceptance degree of fuzzy constraints violated
Ali Mahmoodirad

This paper designs a mathematical model for supply chain network design problem including plants, distributors and customers in fuzzy environment. Each plant and distributor has several levels capacities. A multi-mode demand strategy is considered for the customers wher More

This paper designs a mathematical model for supply chain network design problem including plants, distributors and customers in fuzzy environment. Each plant and distributor has several levels capacities. A multi-mode demand strategy is considered for the customers where only one of the modes is to be selected for each customer. Considering the acceptance degree of fuzzy constraints violated, a method for solve the problem is proposed. For this aim, we proposed an order relationship for trapezoidal fuzzy numbers using their interval expectation value. According to this order relationship, the fuzzy supply chain network problem is converted to an interval supply chain network problem. Then, by combining the order relationship between intervals and acceptance degree of fuzzy constraints violated, the problem is transformed into a bi-objective program model and is solved by the global criterion method. Finally, in order to, show the effectiveness of the proposed approach, several test problems are solved in various sizes. Manuscript profile

Open Access Article

13 - Measuring the efficiency of a three-stage network using data envelopment analysis approach considering dual boundary
Ehsan. Vaeezi S. Esmail. Najafi Seyed Mohammad. Haji Maulana Farhad, Hosseinzadeh Lotfi Mahnaz. Ahadzadeh Namin

This paper presents a method for performance evaluation, ranking and clustering based on the double-frontier view to analyze the complex networks. The model allows us to open the structure of the “black box” and can help to obtain important information about More

This paper presents a method for performance evaluation, ranking and clustering based on the double-frontier view to analyze the complex networks. The model allows us to open the structure of the “black box” and can help to obtain important information about efficient and inefficient points of the system. In this paper, we consider a three-stage network, in respect to the additional desirable and undesirable inputs and outputs and utilize the cooperative approach to measure the efficiency of the overall system. Due to the fact that, a conclusion implying only one of these two, optimistic or pessimistic views is one-sided and incomplete, so, in this paper we used the double-frontier to analyze the network. Moreover, a heuristic technique was used to convert non-linear models into linear models. After obtaining the effective and inefficient points of the network, the DMUs are classified into several clusters by the k-means algorithm.Finally, in this article, in order to apply the proposed model a factory producing dairy products with a production area, warehouse premises and a delivery point are simulated. This factory has been regarded as a dynamic network with a time period of 24 intervals. The results of the ranking showed that, the time periods, (10) and (1) were the best and poorest respectively, in context to the efficiency within 24 phases of time. Manuscript profile

Open Access Article

14 - Designing a smart algorithm for determining stock exchange signals by data mining
pantea maleki-moghadam akbar alem-tabriz esmael najafi

One of the most important problems in modern finance is finding efficient ways to summarize and visualize the stock exchange market. This research proposes a smart algorithm by means of valuable big data that is generated by stock exchange market and different kinds of More

One of the most important problems in modern finance is finding efficient ways to summarize and visualize the stock exchange market. This research proposes a smart algorithm by means of valuable big data that is generated by stock exchange market and different kinds of methodology to present a smart model.In this paper, we investigate relationships between the data and access to their latent information with an enormous amount of data which has a significant impact on the investor’s decisions. First, extracting technical indicators from different point of the charts based on two groups of stock exchanges like petrochemical and automotive during 1387 to 1396, then analyzing clusters by means of k-means algorithm and data mining methodology. The contributions of this paper are: 1. To create a model with twenty technical indicators in different stock exchange companies and industries.2. To evaluate the proposed model and finally to predict the sales signals at the maximum points which has significant performance and can be predicted with acceptable accuracy. Manuscript profile

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