Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
2
2011
01
01
Some notes on the existence of an inequality in Banach algebra
1
3
EN
M.
Asadi
Department of Mathematics, Zanjan Branch, Islamic Azad University,
Zanjan, Iran.
masadi@azu.ac.ir
We shall prove an existence inequality for two maps on Banach algebra, withan example and in sequel we have some results on R and Rn spaces. This waycan be applied for generalization of some subjects of mathematics in teachingwhich how we can extend a math problem to higher level.
http://msj.iau-arak.ac.ir/article_515304.html
http://msj.iau-arak.ac.ir/article_515304_46a046c6c9f4c6e9c77d9c407ae5736c.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
2
2011
01
01
Module contractibility for semigroup algebras
5
18
EN
Abasalt
Bodaghi
Department of Mathematics, Islamic Azad University, Garmsar Branch,
Garmsar, Iran.
abasalt.bodaghi@gmail.com
In this paper, we nd the relationships between module contractibility of aBanach algebra and its ideals. We also prove that module contractibility ofa Banach algebra is equivalent to module contractibility of its module uniti-zation. Finally, we show that when a maximal group homomorphic image ofan inverse semigroup S with the set of idempotents E is nite, the moduleprojective tensor product l1(S)×l1(E)l1(S) is l1(E)-module contractible.
http://msj.iau-arak.ac.ir/article_515305.html
http://msj.iau-arak.ac.ir/article_515305_e79dc62d660dc926fc8df59fa7cdf0c6.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
2
2011
01
01
A goal programming procedure for ranking decision making units in DEA
19
38
EN
Farhad
Hosseinzadeh-Lotfi
Department of Mathematics, Islamic Azad University, Science and Research
Branch, Tehran, Iran.
Mohammad
Izadikhah
Department of Mathematics, Islamic Azad University, Arak Branch, Arak
Branch, Iran.
m-izadikhah@iau-arak.ac.ir,m izadikhah@yahoo.com
R.
Roostaee
Department of Mathematics, Islamic Azad University, Arak Branch, Arak
Branch, Iran.
Mohsen
Rostamy-Malkhalifeh
Department of Mathematics, Islamic Azad University, Science and Research
Branch, Tehran, Iran.
This research proposes a methodology for ranking decision making units byusing a goal programming model.We suggest a two phases procedure. In phase1, by using some DEA problems for each pair of units, we construct a pairwisecomparison matrix. Then this matrix is utilized to rank the units via the goalprogramming model.
http://msj.iau-arak.ac.ir/article_515306.html
http://msj.iau-arak.ac.ir/article_515306_d1395b0ec7c0fa84b8dcbe2f43890679.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
2
2011
01
01
A numerical approach for solving a nonlinear inverse diusion problem by Tikhonov regularization
39
54
EN
H.
Molhem
Department of Physics , Faculty of Science, Islamic Azad University, Karaj
Branch, Karaj, Iran
molhem@kiau.ac.ir
R.
Pourgholi
School of Mathematics and Computer Sciences,
Damghan University, P.O.Box 36715-364, Damghan, Iran.
M.
Borghei
Department of Physics , Faculty of Science, Islamic Azad University, Karaj
Branch, Karaj, Iran.
In this paper, we propose an algorithm for numerical solving an inverse non-linear diusion problem. In additional, the least-squares method is adopted tond the solution. To regularize the resultant ill-conditioned linear system ofequations, we apply the Tikhonov regularization method to obtain the stablenumerical approximation to the solution. Some numerical experiments con-rm the utility of this algorithm as the results are in good agreement with theexact data.
http://msj.iau-arak.ac.ir/article_515307.html
http://msj.iau-arak.ac.ir/article_515307_344e497c5932fb79645002ff08aad47f.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
2
2011
01
01
A method for solving fully fuzzy linear system
55
66
EN
M.
Mosleh
Department of Mathematics, Islamic Azad University, Firuozkooh Branch,
Firuozkooh, Iran.
S.
Abbasbandy
Department of Mathematics, Science and Research Branch, Islamic Azad
University, Tehran 14515/775, Iran.
abbasbandy@yahoo.com
M.
Otadi
Department of Mathematics, Islamic Azad University, Firuozkooh Branch,
Firuozkooh, Iran.
In this paper, a numerical method for nding minimal solution of a mn fullyfuzzy linear system of the form Ax = b based on pseudo inverse calculation,is given when the central matrix of coecients is row full rank or column fullrank, and where A~ is a non-negative fuzzy mn matrix, the unknown vectorx is a vector consisting of n non-negative fuzzy numbers and the constant b isa vector consisting of m non-negative fuzzy numbers.
http://msj.iau-arak.ac.ir/article_515308.html
http://msj.iau-arak.ac.ir/article_515308_3d4f47473aa6158288ff114397090b80.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
2
2011
01
01
Positive solution for boundary value problem of fractional dierential equation
67
78
EN
Haidong
Qu
Department of Mathematics and Information, Hanshan Normal University,
Chaozhou, Guangdong, 521041, P. R. China
qhaidong@163.com
In this paper, we prove the existence of the solution for boundary value prob-lem(BVP) of fractional dierential equations of order q 2 (2; 3]. The Kras-noselskii's xed point theorem is applied to establish the results. In addition,we give an detailed example to demonstrate the main result.
http://msj.iau-arak.ac.ir/article_515309.html
http://msj.iau-arak.ac.ir/article_515309_7fa3a7bb0c55e284fe959db488359f10.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
2
2011
01
01
An approach for simultaneously determining the optimal trajectory and control of a cancerous model
79
92
EN
Hamid Reza
Sahebi
Department of Mathematics, Islamic Azad University, Ashtian Branch,
Ashtian, Iran.
sahebi@mail.aiau.ac.ir
S.
Ebrahimi
Department of Mathematics, Islamic Azad University, Ashtian Branch,
Ashtian, Iran.
The main attempt of this article is extension the method so that it generallywould be able to consider the classical solution of the systems and moreover,produces the optimal trajectory and control directly at the same time. There-fore we consider a control system governed by a bone marrow cancer equation.Next, by extending the underlying space, the existence of the solution is con-sidered and pair of the solution are identied simultaneously. In this mannera numerical example is also given.
http://msj.iau-arak.ac.ir/article_515310.html
http://msj.iau-arak.ac.ir/article_515310_e29338c358ee700e93c3c2d8c069cfb9.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
2
2011
01
01
Numerical solution of Hammerstein Fredholm and Volterra integral equations of the second kind using block pulse functions and collocation method
93
103
EN
M. M.
Shamivand
Department of Mathematics, Islamic Azad University, Borujerd Branch,
Borujerd, Iran.
m.shamivand@yahoo.com
A.
Shahsavaran
Department of Mathematics, Islamic Azad University, Borujerd Branch,
Borujerd, Iran.
In this work, we present a numerical method for solving nonlinear Fredholmand Volterra integral equations of the second kind which is based on the useof Block Pulse functions(BPfs) and collocation method. Numerical examplesshow eciency of the method.
http://msj.iau-arak.ac.ir/article_515311.html
http://msj.iau-arak.ac.ir/article_515311_4a34919d52ff4d75af52fd67e76eafae.pdf
Islamic Azad University
Theory of Approximation and Applications
2538-2217
7
2
2011
01
01
A three-step method based on Simpson's 3/8 rule for solving system of nonlinear Volterra integral equations
105
130
EN
M.
Tavassoli-Kajani
Department of Mathematics, Islamic Azad University, Khorasgan Branch,
Isfahan, Iran.
mtavassoli@khuisf.ac.ir
L.
Kargaran-Dehkordi
Department of Mechanic, Shahr-e-Kord University, Shahr-e-Kord, Iran.
Sh.
Hadian-Jazi
Department of Mechanic, Shahr-e-Kord University, Shahr-e-Kord, Iran.
This paper proposes a three-step method for solving nonlinear Volterra integralequations system. The proposed method convents the system to a (3 × 3)nonlinear block system and then by solving this nonlinear system we ndapproximate solution of nonlinear Volterra integral equations system. To showthe advantages of our method some numerical examples are presented.
http://msj.iau-arak.ac.ir/article_515312.html
http://msj.iau-arak.ac.ir/article_515312_81d88278ff9347da3f87efef78146ddb.pdf