Some notes on the existence of an inequality in Banach algebra
M.
Asadi
Department of Mathematics, Zanjan Branch, Islamic Azad University,
Zanjan, Iran.
author
text
article
2011
eng
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
2
no.
2011
1
3
http://msj.iau-arak.ac.ir/article_515304_46a046c6c9f4c6e9c77d9c407ae5736c.pdf
Module contractibility for semigroup algebras
Abasalt
Bodaghi
Department of Mathematics, Islamic Azad University, Garmsar Branch,
Garmsar, Iran.
author
text
article
2011
eng
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
2
no.
2011
5
18
http://msj.iau-arak.ac.ir/article_515305_e79dc62d660dc926fc8df59fa7cdf0c6.pdf
A goal programming procedure for ranking decision making units in DEA
Farhad
Hosseinzadeh-Lotfi
Department of Mathematics, Islamic Azad University, Science and Research
Branch, Tehran, Iran.
author
Mohammad
Izadikhah
Department of Mathematics, Islamic Azad University, Arak Branch, Arak
Branch, Iran.
author
R.
Roostaee
Department of Mathematics, Islamic Azad University, Arak Branch, Arak
Branch, Iran.
author
Mohsen
Rostamy-Malkhalifeh
Department of Mathematics, Islamic Azad University, Science and Research
Branch, Tehran, Iran.
author
text
article
2011
eng
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
2
no.
2011
19
38
http://msj.iau-arak.ac.ir/article_515306_d1395b0ec7c0fa84b8dcbe2f43890679.pdf
A numerical approach for solving a nonlinear inverse diusion problem by Tikhonov regularization
H.
Molhem
Department of Physics , Faculty of Science, Islamic Azad University, Karaj
Branch, Karaj, Iran
author
R.
Pourgholi
School of Mathematics and Computer Sciences,
Damghan University, P.O.Box 36715-364, Damghan, Iran.
author
M.
Borghei
Department of Physics , Faculty of Science, Islamic Azad University, Karaj
Branch, Karaj, Iran.
author
text
article
2011
eng
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
2
no.
2011
39
54
http://msj.iau-arak.ac.ir/article_515307_344e497c5932fb79645002ff08aad47f.pdf
A method for solving fully fuzzy linear system
M.
Mosleh
Department of Mathematics, Islamic Azad University, Firuozkooh Branch,
Firuozkooh, Iran.
author
S.
Abbasbandy
Department of Mathematics, Science and Research Branch, Islamic Azad
University, Tehran 14515/775, Iran.
author
M.
Otadi
Department of Mathematics, Islamic Azad University, Firuozkooh Branch,
Firuozkooh, Iran.
author
text
article
2011
eng
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
2
no.
2011
55
66
http://msj.iau-arak.ac.ir/article_515308_3d4f47473aa6158288ff114397090b80.pdf
Positive solution for boundary value problem of fractional dierential equation
Haidong
Qu
Department of Mathematics and Information, Hanshan Normal University,
Chaozhou, Guangdong, 521041, P. R. China
author
text
article
2011
eng
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
2
no.
2011
67
78
http://msj.iau-arak.ac.ir/article_515309_7fa3a7bb0c55e284fe959db488359f10.pdf
An approach for simultaneously determining the optimal trajectory and control of a cancerous model
Hamid Reza
Sahebi
Department of Mathematics, Islamic Azad University, Ashtian Branch,
Ashtian, Iran.
author
S.
Ebrahimi
Department of Mathematics, Islamic Azad University, Ashtian Branch,
Ashtian, Iran.
author
text
article
2011
eng
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
2
no.
2011
79
92
http://msj.iau-arak.ac.ir/article_515310_e29338c358ee700e93c3c2d8c069cfb9.pdf
Numerical solution of Hammerstein Fredholm and Volterra integral equations of the second kind using block pulse functions and collocation method
M. M.
Shamivand
Department of Mathematics, Islamic Azad University, Borujerd Branch,
Borujerd, Iran.
author
A.
Shahsavaran
Department of Mathematics, Islamic Azad University, Borujerd Branch,
Borujerd, Iran.
author
text
article
2011
eng
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
2
no.
2011
93
103
http://msj.iau-arak.ac.ir/article_515311_4a34919d52ff4d75af52fd67e76eafae.pdf
A three-step method based on Simpson's 3/8 rule for solving system of nonlinear Volterra integral equations
M.
Tavassoli-Kajani
Department of Mathematics, Islamic Azad University, Khorasgan Branch,
Isfahan, Iran.
author
L.
Kargaran-Dehkordi
Department of Mechanic, Shahr-e-Kord University, Shahr-e-Kord, Iran.
author
Sh.
Hadian-Jazi
Department of Mechanic, Shahr-e-Kord University, Shahr-e-Kord, Iran.
author
text
article
2011
eng
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.
Theory of Approximation and Applications
Islamic Azad University
2538-2217
7
v.
2
no.
2011
105
130
http://msj.iau-arak.ac.ir/article_515312_81d88278ff9347da3f87efef78146ddb.pdf