2012
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FanKKM Theorem in Minimal Vector Spaces and its Applications
2
2
In this paper, after reviewing some results in minimal space, some new results in this setting are given. We prove a generalized form of the FanKKM typetheorem in minimal vector spaces. As some applications, the open type of matching theorem and generalized form of the classical KKM theorem in minimal vector spaces are given.
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53
60
مهدی
روحی
Mehdi
Roohi
Department of Mathematics, Faculty of Sciences, Golestan University
Department of Mathematics, Faculty of Sciences,
Iran
m.roohi@gu.ac.ir
محسن
رستمیان دلاور
Mohsen
Rostamian Delavar
Young Researchers Club, Semnan Branch, Islamic Azad University
Young Researchers Club, Semnan Branch, Islamic
Iran
Minimal vector space
FanKKM theorem
Matching theorem
On the Superstability and Stability of the Pexiderized Exponential Equation
2
2
The main purpose of this paper is to establish some new results onthe superstability and stability via a fixed point approach forthe Pexiderized exponential equation, i.e.,$$f(x+y)g(x)h(y)leq psi(x,y),$$where $f$, $g$ and $h$ are three functions from an arbitrarycommutative semigroup $S$ to an arbitrary unitary complex Banachalgebra and also $psi: S^{2}rightarrow [0,infty)$ is afunction. Furthermore, in connection with the open problem of Th.M. Rassias and our results we generalized the theorem of Baker,Lawrence, Zorzitto and theorem of L. Sz$acute{e}$kelyhidi.
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61
74
محسن
علیمحمدی
Mohsen
Alimohammady
Department of Mathematics, University of Mazandaran
Department of Mathematics, University of
Iran
amohsen@umz.ac.ir
علی
صادقی
Ali
Sadeghi
Department of Mathematics, University of Mazandaran
Department of Mathematics, University of
Iran
sadeghi.ali68@gmail.com
Superstability
Cauchy equation
Stability
Semigroup
Fixed point
Best Approximation in TVS
2
2
In this paper we give newresults on the best approximation in the Hausdorff topological vectorspace and consider relationship with orthogonality. Also we determined under what conditions the map $P_{K,f}$ is upper semicontinous.
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75
79
م.ر
حدادی
M. R.
Haddadi
Faculty of Mathematics, Ayatollah Boroujerdi University,
Boroujerd, Iran
Faculty of Mathematics, Ayatollah Boroujerdi
Iran
ج.
حمزه نژاد
J.
Hamzenejad
Iran
A Uniqueness Theorem of the Solution of an Inverse Spectral Problem
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2
This paper is devoted to the proof of the unique solvability ofthe inverse problems for secondorder differential operators withregular singularities. It is shown that the potential functioncan be determined from spectral data, also we prove a uniquenesstheorem in the inverse problem.
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80
87
آ.
نعمتی
A.
Neamaty
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
Department of Mathematics, University of
Iran
namaty@umz.ac.ir
س.
موسی زاده
S.
Mosazadeh
Department of Pure Mathematics, Faculty of Mathematical Sciences,
University of Kashan
Department of Pure Mathematics, Faculty of
Iran
s.mosazadeh@umz.ac.ir
م.
باقرزاده
M.
Bagherzadeh
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
Department of Mathematics, University of
Iran
Inverse spectral problem
Eigenvalues
Uniqueness theorem
1Soliton Solution of the BiswasMilovic Equation With Log Law Nonlinearity
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2
This paper studies the BiswasMilovic equation with log law nonlinearity. TheGausson solution is obtained by the ansatz method. Subsequently, theconservation laws are derived and the conserved quantities are computed usingthe Gausson solution.
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88
93
فایقه
مجید
Fayequa.
Majid
Department of Physics, Chemistry & Mathematics
Alabama A & M University
Department of Physics, Chemistry & Mathematics
Al
Iran
fayequa.majid@gmail.com
BiswasMilovic equation
Gausson solution
Ansatz method
nfold Commutative Hyper Kideals
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2
In this paper, we aresupposed to introduce the definitions of nfold commutative, andimplicative hyper Kideals. These definitions are thegeneralizations of the definitions of commutative, andimplicative hyper Kideals, respectively, which have been definedin [12]. Then we obtain some related results. In particular wedetermine the relationships between nfold implicative hyperKideal and nfold commutative hyper Kideals of a hyperKalgebra of order 3, which satisfy the simple condition. Then,generally we study nfold commutative hyper Kideals in simplehyper Kalgebras.
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94
103
پ.
بابری
P.
Babari
Department of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran
Department of Mathematics, Faculty of Mathematics,
Iran
p.babari@modares.ac.ir
م.
پیراصغری
M.
Pirasghari
Department of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran.
Department of Mathematics, Faculty of Mathematics,
Iran
m.pirasghari@modraes.ac.ir
محمد مهدی
زاهدی
M. M.
Zahedi
Department of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran.
Department of Mathematics, Faculty of Mathematics,
Iran
zahedi_mm@modares.ac.ir
Hyper Kalgebra
Weak hyper Kideal
Hyper Kideal
nfold Commutative, Implicative hyper Kideals, Simple condition
Comments on Multiparameter
Estimation in Truncated Power Series Distributions under the Stein's Loss
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2
This comment is to show that Theorem3.3 of Dey and Chung (1991) (Multiparameter estimation intruncated power series distributions under the Stein's loss.emph{Commun. Statist.Theory Meth.,} {bf 20}, 309326) may giveus misleading results. Analytically and through simulation, weshow that the Theorem does not improve the given estimator.
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104
108
ر.
الموسوی
Riyadh R.
AlMosawi
Department of Mathematics, Thiqar University, Iraq
Department of Mathematics, Thiqar University,
Iran
Exact Solutions of the Generalized KuramotoSivashinsky Equation
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2
In this paper we obtain exact solutions of the generalized KuramotoSivashinsky equation, which describes manyphysical processes in motion of turbulence and other unstable process systems. The methods used to determine the exact solutions of the underlying equation are the Lie group analysis and the simplest equation method. The solutions obtained are then plotted.
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109
116
س.م
خالقی
C.M.
Khalique
Department of Mathematical Sciences, NorthWest University,
Makeng Campus, Private Bag X 2046, Mmabatho 2735,
Republic of South Africa
Department of Mathematical Sciences, NorthWest
Iran
Generalized KuramotoSivashinsky equation
integrability
Lie symmetry methods
Simplest equation method