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Open Access Article
1 - Fixed point of generalized contractive maps on $S^{JS}$-metric spaces with two metrics
Kushal Roy Mantu Saha Ismat BegIn this paper we prove the existence of fixed point theorems for $\mathcal{Z}$-contractive map, Geraghty type contractive map and interpolative Hardy-Rogers type contractive mapping in the setting of $S^{JS}$metric spaces with two metrics. Examples are constructed to hi MoreIn this paper we prove the existence of fixed point theorems for $\mathcal{Z}$-contractive map, Geraghty type contractive map and interpolative Hardy-Rogers type contractive mapping in the setting of $S^{JS}$metric spaces with two metrics. Examples are constructed to highlight the significance of newly obtained results. Manuscript profile -
Open Access Article
2 - An extension of stochastic differential models by using the Grunwald-Letnikov fractional derivative
Mohammad Ali Jafari Narges MousaviyStochastic differential equations (SDEs) have been applied by engineers and economists because it can express the behavior of stochastic processes in compact expressions. In this paper, by using Grunwald-Letnikov fractional derivative, the stochastic differential model MoreStochastic differential equations (SDEs) have been applied by engineers and economists because it can express the behavior of stochastic processes in compact expressions. In this paper, by using Grunwald-Letnikov fractional derivative, the stochastic differential model is improved. Two numerical examples are presented to show efficiency of the proposed model. A numerical optimization approach based on least square approximation is applied to determine the order of the fractional derivative. Numerical examples show that the proposed model works better than the SDE to model stochastic processes with memory. Manuscript profile -
Open Access Article
3 - Best Proximity Points Results for Cone Generalized Semi-Cyclic $\varphi-$Contraction Maps
Marzieh Ahmadi Baseri Hamid Tehrani T. D. NrangIn this paper, we introduce a cone generalized semi-cyclic$\varphi-$contraction maps and prove best proximity points theorems for such mapsin cone metric spaces. Also, we study existence and convergence results ofbest proximity points of such maps in normal cone metric MoreIn this paper, we introduce a cone generalized semi-cyclic$\varphi-$contraction maps and prove best proximity points theorems for such mapsin cone metric spaces. Also, we study existence and convergence results ofbest proximity points of such maps in normal cone metric spaces. Our resultsgeneralize some results on the topic. Manuscript profile -
Open Access Article
4 - Skew Cyclic Codes Of Arbitrary Length Over $R=\frac{F_p[v]}{({v}^{{2}^{k}}-1)}$
Alireza SoleimaniIn thise paper we study an special type of Cyclic Codes called skewCyclic codes over the ring$R=\frac{F_p[v]}{({v}^{{2}^{k}}-1)}$ where is a prime number. This setsOf codes are the result of module (or ring) structure of the skew polynomial ring$R=[x,Q]$ where ${v}^{{2} MoreIn thise paper we study an special type of Cyclic Codes called skewCyclic codes over the ring$R=\frac{F_p[v]}{({v}^{{2}^{k}}-1)}$ where is a prime number. This setsOf codes are the result of module (or ring) structure of the skew polynomial ring$R=[x,Q]$ where ${v}^{{2}^{k}}=1 $ and $Q$ is an Fp automorphism such that $Q(v)={v}^{{2}^{k}}-1$.We show that when n is even these codes are principal and if n is odd these codeLook like a module and proof some properties. Manuscript profile -
Open Access Article
5 - Midpoint Characterization in Symmetric Hadamard Spaces and its Applications
Farshid KhojastehIn this paper, we characterize symmetric Hadamard spaces by the help of new midpoint propertiesin these spaces and show that any symmetric Hadamard spaces are flat. As an application of the newmidpoint property we characterize the affine mapping in these spaces.In this paper, we characterize symmetric Hadamard spaces by the help of new midpoint propertiesin these spaces and show that any symmetric Hadamard spaces are flat. As an application of the newmidpoint property we characterize the affine mapping in these spaces. Manuscript profile -
Open Access Article
6 - Data envelopment analysis with imprecise data revisited
Mohammad Izadikhah Dimitris K. DespotisWang et al. (2005) proposed a pair of data envelopment analysis (DEA) models to deal with the efficiency assessment of decision-making units (DMU) in the presence of interval input/output data. Their approach was developed with reference to an earlier approach proposed MoreWang et al. (2005) proposed a pair of data envelopment analysis (DEA) models to deal with the efficiency assessment of decision-making units (DMU) in the presence of interval input/output data. Their approach was developed with reference to an earlier approach proposed by Despotis and Smirlis (2002) for the same problem. Given that the input/output data are given as interval numbers, the efficiency scores are interval measures as well. In such a setting, both approaches provide lower and upper bounds for the efficiency scores. Wang et al. (2005) claim that the lower and upper bounds calculated in Despotis and Smirlis (2002) are incorrect. Then, they present different models to calculate the true bounds. In this paper, we counter-argue their claim and we show that the Despotis and Smirlis bounds are correct and those provided in Wang et al. are estimated in a manner that they fail to satisfy an obvious property that they should possess. We illustrate our arguments with a counterexample that was originally used in Wang et. al (2005). Manuscript profile -
Open Access Article
7 - Using the Finite Differences Method for the Fredholm Integral Equations of the Second Kind
Nooshin Pashmakian Ali Farajzadeh نورالدین پرندینIn this paper, we want to solve the Fredholm integral equations of the second type using thenumerical finite differences method. In this method, we use the forward, central and backwardoperator’s to solve integral equations, and finally we compare these methods wi MoreIn this paper, we want to solve the Fredholm integral equations of the second type using thenumerical finite differences method. In this method, we use the forward, central and backwardoperator’s to solve integral equations, and finally we compare these methods with the help of nu-merical examples. Manuscript profile -
Open Access Article
8 - Efficiency the concept effective order & combination of Runge-Kutta Methods
Razieh KetabchiIn this paper, Runge-Kutta (RK) methods is introduced; The conditions of order p and its equations have been investigated by calculating Fréchet derivatives and displaying them graphically as rooted trees. The concept of effective order and combination of methods MoreIn this paper, Runge-Kutta (RK) methods is introduced; The conditions of order p and its equations have been investigated by calculating Fréchet derivatives and displaying them graphically as rooted trees. The concept of effective order and combination of methods are introduced; The efficiency of the effective order method is explicitly compared to the RK method with the classical order in terms of computational speed and reduction of the number of ancient conditions. Manuscript profile -
Open Access Article
9 - A Nonliear Optimal Control Model for a generator System
Hamid Sahebi S. Ebrahimi Stojan RadenovicIn this article, we apply this new method for solving an engineering system withinitial and boundary conditions and integral criterion, and we will use dynamicprogramming as iteration for solving model.In this article, we apply this new method for solving an engineering system withinitial and boundary conditions and integral criterion, and we will use dynamicprogramming as iteration for solving model. Manuscript profile -
Open Access Article
10 - Numerical Solution of a New Type Fuzzy Nonlinear Volterra Integral Equations
Laleh HooshangianFuzzy integral equations play a fundamental role in the many fields of engineering and applied mathematics.The paper presented, a new type of fuzzy Volterra integral equations of the second kind with nonlinear fuzzykernels. Numerical solutions of a new type of nonlinear MoreFuzzy integral equations play a fundamental role in the many fields of engineering and applied mathematics.The paper presented, a new type of fuzzy Volterra integral equations of the second kind with nonlinear fuzzykernels. Numerical solutions of a new type of nonlinear fuzzy Volterra integral equations with nonlinear fuzzy kernels through Variational Homotopy perturbation (VHP) method based on the parametric form of a fuzzy number, is investigated. To find the approximate solution and to get an approximation for fuzzy solution of the new type of nonlinear fuzzy Volterra integral equations the VHPM is applied, and it is shown that VHPM is an effective and reliable approach to solve these equations. Finally, a few numerical examples are given and results unfold that VHPM is very close to exact solutions. The obtained approximate solutions are contrasted with the exact solution, and absolute error between obtaining numerical results and an exact solution are found. One of the examples shows a comparison between VHPM and HPM. Manuscript profile -
Open Access Article
11 - Many algorithms for approximation of restrained 2-rainbow domination in GP(n,5)
Mojtaba GhanbariThe concept of 2-rainbow domination of a graph $G$ coincides withthe ordinary domination of the prism $G \Box K_{2}$. Ghanbari andMojdeh \cite{gm} initiated the concept of restrained 2-rainbowdomination in graphs. In this paper is given many algorithms forgood approxima MoreThe concept of 2-rainbow domination of a graph $G$ coincides withthe ordinary domination of the prism $G \Box K_{2}$. Ghanbari andMojdeh \cite{gm} initiated the concept of restrained 2-rainbowdomination in graphs. In this paper is given many algorithms forgood approximations of restrained 2-rainbowdomination number of generalized Petersen Graph $GP(n,5)$. Manuscript profile -
Open Access Article
12 - An Extension of Mixed Monotone Mapping to Tripled Fixed Point Theorem in Fuzzy Metric Spaces
Samuel Aniki Sheidu MomohIn this paper, we prove the concept of fuzzy metric spaces of tripled fixed point via mixed monotone mappings and prove the existence and uniqueness theorem for contractive type mapping. In order to do that, we consider a modification to results on tripled fixed point t MoreIn this paper, we prove the concept of fuzzy metric spaces of tripled fixed point via mixed monotone mappings and prove the existence and uniqueness theorem for contractive type mapping. In order to do that, we consider a modification to results on tripled fixed point theorem in fuzzy metric spaces available in literature. Additionally, we prove some tripled fixed point theorems for metric spaces via mixed monotone mappings. These results extend and generalize some recent results in literature. Manuscript profile
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