eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-07-29
1
2
53
60
44
Fan-KKM Theorem in Minimal Vector Spaces and its Applications
Mehdi Roohi
m.roohi@gu.ac.ir
1
Mohsen Rostamian Delavar
2
Department of Mathematics, Faculty of Sciences, Golestan University
Young Researchers Club, Semnan Branch, Islamic Azad University
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 Fan-KKM 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.
http://cjms.journals.umz.ac.ir/article_44_13167a85119bee710d59257cd10826d5.pdf
Minimal vector space
Fan-KKM theorem
Matching theorem
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-07-29
1
2
61
74
45
On the Superstability and Stability of the Pexiderized Exponential Equation
Mohsen Alimohammady
amohsen@umz.ac.ir
1
Ali Sadeghi
sadeghi.ali68@gmail.com
2
Department of Mathematics, University of Mazandaran
Department of Mathematics, University of Mazandaran
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.
http://cjms.journals.umz.ac.ir/article_45_f7d32d951e0682ec78c76d90b94637e6.pdf
Superstability
Cauchy equation
Stability
Semigroup
Fixed point
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-07-29
1
2
75
79
46
Best Approximation in TVS
M. R. Haddadi
1
J. Hamzenejad
2
Faculty of Mathematics, Ayatollah Boroujerdi University,
Boroujerd, Iran
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.
http://cjms.journals.umz.ac.ir/article_46_ed759bc39b763a1d8e3872fb29c34ecd.pdf
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-07-29
1
2
80
87
47
A Uniqueness Theorem of the Solution of an Inverse Spectral Problem
A. Neamaty
namaty@umz.ac.ir
1
S. Mosazadeh
s.mosazadeh@umz.ac.ir
2
M. Bagherzadeh
3
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
Department of Pure Mathematics, Faculty of Mathematical Sciences,
University of Kashan
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
This paper is devoted to the proof of the unique solvability ofthe inverse problems for second-order 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.
http://cjms.journals.umz.ac.ir/article_47_a37b15bea5c428f42bf038eb5aa933a3.pdf
Inverse spectral problem
Eigenvalues
Uniqueness theorem
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-07-29
1
2
88
93
48
1-Soliton Solution of the Biswas-Milovic Equation With Log Law Nonlinearity
Fayequa. Majid
fayequa.majid@gmail.com
1
Department of Physics, Chemistry & Mathematics
Alabama A & M University
This paper studies the Biswas-Milovic 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.
http://cjms.journals.umz.ac.ir/article_48_f58765c4a37548088dddf4639f111f9b.pdf
Biswas-Milovic equation
Gausson solution
Ansatz method
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-07-29
1
2
94
103
49
n-fold Commutative Hyper K-ideals
P. Babari
p.babari@modares.ac.ir
1
M. Pirasghari
m.pirasghari@modraes.ac.ir
2
M. M. Zahedi
zahedi_mm@modares.ac.ir
3
Department of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran
Department of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran.
Department of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran.
In this paper, we aresupposed to introduce the definitions of n-fold commutative, andimplicative hyper K-ideals. These definitions are thegeneralizations of the definitions of commutative, andimplicative hyper K-ideals, respectively, which have been definedin [12]. Then we obtain some related results. In particular wedetermine the relationships between n-fold implicative hyperK-ideal and n-fold commutative hyper K-ideals of a hyperK-algebra of order 3, which satisfy the simple condition. Then,generally we study n-fold commutative hyper K-ideals in simplehyper K-algebras.
http://cjms.journals.umz.ac.ir/article_49_50a78a440f61c84e87516e6609fc05e4.pdf
Hyper K-algebra
Weak hyper K-ideal
Hyper
K-ideal
n-fold Commutative, Implicative hyper K-ideals,
Simple condition
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-07-29
1
2
104
108
50
Comments on Multiparameter
Estimation in Truncated Power Series Distributions under the Stein's Loss
Riyadh R. Al-Mosawi
1
Department of Mathematics, Thiqar University, Iraq
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}, 309-326) may giveus misleading results. Analytically and through simulation, weshow that the Theorem does not improve the given estimator.
http://cjms.journals.umz.ac.ir/article_50_443a64b5e7b4d5d4467a5ed58b14e59d.pdf
eng
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1735-0611
2012-07-29
1
2
109
116
51
Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation
C.M. Khalique
1
Department of Mathematical Sciences, North-West University,
Makeng Campus, Private Bag X 2046, Mmabatho 2735,
Republic of South Africa
In this paper we obtain exact solutions of the generalized Kuramoto-Sivashinsky 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.
http://cjms.journals.umz.ac.ir/article_51_4b03e84b181813878f791a9deee22370.pdf
Generalized Kuramoto-Sivashinsky equation
integrability
Lie symmetry methods
Simplest equation method