Theory of Approximation and Applications: 1 (1)

Open Access Article

1 - The behavior of homological dimensions
M. Ansari E. Hosseini

Let R be a commutative noetherian ring. We study the behavior of injectiveand at dimension of R-modules under the functors HomR(-,-) and -×R-.

Let R be a commutative noetherian ring. We study the behavior of injectiveand at dimension of R-modules under the functors HomR(-,-) and -×R-. Manuscript profile

Open Access Article

2 - Some Results for CAT(0) Spaces
M. Asadi S.M. Vaezpour M. Soleymani

We shall generalize the concept of z = (1-􀀀t)+ty to n times which containsto verify some their properties and inequalities in CAT(0) spaces. In the sequelwith introducing of -nonexpansive mappings, we obtain some xed points andapproximate fixed points theorems.

We shall generalize the concept of z = (1-􀀀t)+ty to n times which containsto verify some their properties and inequalities in CAT(0) spaces. In the sequelwith introducing of -nonexpansive mappings, we obtain some xed points andapproximate fixed points theorems. Manuscript profile

Open Access Article

3 - Modeling, simulation and analysis of a multi degree of freedom aircraft wing model
Xueguang Bia Yucheng Liu

This paper presented methods to determine the aerodynamic forces that acton an aircraft wing during flight. These methods are initially proposed for asimplified two degree-of-freedoms airfoil model and then are extensivelyapplied for a multi-degree-of-freedom airfoil sy More

This paper presented methods to determine the aerodynamic forces that acton an aircraft wing during flight. These methods are initially proposed for asimplified two degree-of-freedoms airfoil model and then are extensivelyapplied for a multi-degree-of-freedom airfoil system. Different airspeedconditions are considered in establishing such methods. The accuracy of thepresented methods is verified by comparing the estimated aerodynamic forceswith the actual values. A good agreement is achieved through the comparisonsand it is verified that the present methods can be used to correctly identify theaerodynamic forces acting on the aircraft wing models. Manuscript profile

Open Access Article

4 - Random fixed point of Meir-Keeler contraction mappings and its application
H. Dibachi

In this paper we introduce a generalization of Meir-Keeler contraction forrandom mapping T : Ω×C →C, where C be a nonempty subset of a Banachspace X and (Ω,Σ) be a measurable space with being a sigma-algebra of sub-sets of. Also, we apply More

In this paper we introduce a generalization of Meir-Keeler contraction forrandom mapping T : Ω×C →C, where C be a nonempty subset of a Banachspace X and (Ω,Σ) be a measurable space with being a sigma-algebra of sub-sets of. Also, we apply such type of random fixed point results to prove theexistence and unicity of a solution for an special random integral equation. Manuscript profile

Open Access Article

5 - Numerical solution of seven-order Sawada-Kotara equations by homotopy perturbation method
M. Ghasemi A. Azizi M. Fardi

In this paper, an application of homotopy perturbation method is appliedto nding the solutions of the seven-order Sawada-Kotera (sSK) and a Lax'sseven-order KdV (LsKdV) equations. Then obtain the exact solitary-wave so-lutions and numerical solutions of the sSK and LsK More

In this paper, an application of homotopy perturbation method is appliedto nding the solutions of the seven-order Sawada-Kotera (sSK) and a Lax'sseven-order KdV (LsKdV) equations. Then obtain the exact solitary-wave so-lutions and numerical solutions of the sSK and LsKdV equations for the initialconditions. The numerical solutions are compared with the known analyticalsolutions. Their remarkable accuracy are nally demonstrated for the bothseven-order equations. Manuscript profile

Open Access Article

6 - A comment on “Supply chain DEA: production possibility set and performance evaluation model
G.R. Jahanshahloo M. Rostamy-Malkhalifeh S. Izadi-Boroumand

In a recent paper in this journal, Yang et al. [Feng Yang, Dexiang Wu,Liang Liang, Gongbing Bi & Desheng Dash Wu (2009), supply chainDEA:production possibility set and performance evaluation model] definedtwo types of supply chain production possibility set which we More

In a recent paper in this journal, Yang et al. [Feng Yang, Dexiang Wu,Liang Liang, Gongbing Bi & Desheng Dash Wu (2009), supply chainDEA:production possibility set and performance evaluation model] definedtwo types of supply chain production possibility set which were proved to beequivalent to each other. They also proposed a new model for evaluatingsupply chains. There are, however, some shortcomings in their paper. In thecurrent paper, we correct the model, the theorems, and their proofs. Manuscript profile

Open Access Article

7 - Approximating xed points of generalized non-expansive non-self mappings in CAT(0) spaces
Saeed Saeed Shabani S.J. Hoseini Ghoncheh

Suppose K is a nonempty closed convex subset of a complete CAT(0) spaceX with the nearest point projection P from X onto K. Let T : K →X be anonself mapping, satisfying condition (C) with F(T) :={ x εK : Tx = x}≠Φ.Suppose fxng is generated iterativel More

Suppose K is a nonempty closed convex subset of a complete CAT(0) spaceX with the nearest point projection P from X onto K. Let T : K →X be anonself mapping, satisfying condition (C) with F(T) :={ x εK : Tx = x}≠Φ.Suppose fxng is generated iteratively by x1εK, xn+1 = P((1-αn)xn+αnTP[(1-αn)xn+βnTxn]),n≥1, where {αn}and {βn} are real sequences in[ε,1-ε] for some ε in(0,1). Then {xn} is Δ-􀀀convergence to some point x* inF(T). This work extends a result of Laowang and Panyanak [5] to the case ofgeneralized nonexpansive nonself mappings. Manuscript profile

Open Access Article

8 - Numerical solution of nonlinear integral equations by Galerkin methods with hybrid Legendre and Block-Pulse functions
M. Tavassoli Kajani S. Mahdavi

In this paper, we use a combination of Legendre and Block-Pulse functionson the interval [0; 1] to solve the nonlinear integral equation of the second kind.The nonlinear part of the integral equation is approximated by Hybrid Legen-dre Block-Pulse functions, and the non More

In this paper, we use a combination of Legendre and Block-Pulse functionson the interval [0; 1] to solve the nonlinear integral equation of the second kind.The nonlinear part of the integral equation is approximated by Hybrid Legen-dre Block-Pulse functions, and the nonlinear integral equation is reduced to asystem of nonlinear equations. We give some numerical examples. To showapplicability of the proposed method. Manuscript profile

Open Access Article

9 - Artinianess of Graded Generalized Local Cohomology Modules
Sh. Tahamtan

Let R = L n2N0Rn be a Noetherian homogeneous graded ring with local basering (R0;m0) of dimension d . Let R+ = Ln2NRn denote the irrelevant idealof R and let M and N be two nitely generated graded R-modules. Lett = tR+(M;N) be the rst integer i such that HiR+(M;N) is More

Let R = L n2N0Rn be a Noetherian homogeneous graded ring with local basering (R0;m0) of dimension d . Let R+ = Ln2NRn denote the irrelevant idealof R and let M and N be two nitely generated graded R-modules. Lett = tR+(M;N) be the rst integer i such that HiR+(M;N) is not minimax.We prove that if i t, then the set AssR0 (HiR+(M;N)n) is asymptoticallystable for n 􀀀! 􀀀1 and Hjm0 (HiR+(M;N)) is Artinian for 0 j 1. More-over, let s = sR+(M;N) be the largest integer i such that HiR+(M;N) is notminimax. For each i s, we prove that R0m0R0HiR+(M;N) is Artinian andthat Hjm0 (HiR+(M;N)) is Artinian for d 􀀀 1 j d. Finally we show thatHd􀀀2m0 (HsR+(M;N)) is Artinian if and only if Hdm0 (Hs􀀀1R+(M;N)) is Artinian. Manuscript profile

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