University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1
2
2012
07
29
Fan-KKM Theorem in Minimal Vector Spaces and its Applications
53
60
EN
Mehdi
Roohi
Department of Mathematics, Faculty of Sciences, Golestan University
m.roohi@gu.ac.ir
Mohsen
Rostamian Delavar
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.
Minimal vector space,Fan-KKM theorem,Matching theorem
http://cjms.journals.umz.ac.ir/article_44.html
http://cjms.journals.umz.ac.ir/article_44_13167a85119bee710d59257cd10826d5.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1
2
2012
07
29
On the Superstability and Stability of the Pexiderized Exponential Equation
61
74
EN
Mohsen
Alimohammady
Department of Mathematics, University of Mazandaran
amohsen@umz.ac.ir
Ali
Sadeghi
Department of Mathematics, University of Mazandaran
sadeghi.ali68@gmail.com
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.
Superstability,Cauchy equation,Stability,Semigroup,Fixed point
http://cjms.journals.umz.ac.ir/article_45.html
http://cjms.journals.umz.ac.ir/article_45_f7d32d951e0682ec78c76d90b94637e6.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1
2
2012
07
29
Best Approximation in TVS
75
79
EN
M. R.
Haddadi
Faculty of Mathematics, Ayatollah Boroujerdi University,
Boroujerd, Iran
J.
Hamzenejad
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.html
http://cjms.journals.umz.ac.ir/article_46_ed759bc39b763a1d8e3872fb29c34ecd.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1
2
2012
07
29
A Uniqueness Theorem of the Solution of an Inverse Spectral Problem
80
87
EN
A.
Neamaty
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
namaty@umz.ac.ir
S.
Mosazadeh
Department of Pure Mathematics, Faculty of Mathematical Sciences,
University of Kashan
s.mosazadeh@umz.ac.ir
M.
Bagherzadeh
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.
Inverse spectral problem,Eigenvalues,Uniqueness theorem
http://cjms.journals.umz.ac.ir/article_47.html
http://cjms.journals.umz.ac.ir/article_47_a37b15bea5c428f42bf038eb5aa933a3.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1
2
2012
07
29
1-Soliton Solution of the Biswas-Milovic Equation With Log Law Nonlinearity
88
93
EN
Fayequa.
Majid
Department of Physics, Chemistry & Mathematics
Alabama A & M University
fayequa.majid@gmail.com
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.
Biswas-Milovic equation,Gausson solution,Ansatz method
http://cjms.journals.umz.ac.ir/article_48.html
http://cjms.journals.umz.ac.ir/article_48_f58765c4a37548088dddf4639f111f9b.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1
2
2012
07
29
n-fold Commutative Hyper K-ideals
94
103
EN
P.
Babari
Department of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran
p.babari@modares.ac.ir
M.
Pirasghari
Department of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran.
m.pirasghari@modraes.ac.ir
M. M.
Zahedi
Department of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran.
zahedi_mm@modares.ac.ir
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.
Hyper K-algebra,Weak hyper K-ideal,Hyper
K-ideal,n-fold Commutative, Implicative hyper K-ideals,
Simple condition
http://cjms.journals.umz.ac.ir/article_49.html
http://cjms.journals.umz.ac.ir/article_49_50a78a440f61c84e87516e6609fc05e4.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1
2
2012
07
29
Comments on Multiparameter
Estimation in Truncated Power Series Distributions under the Stein's Loss
104
108
EN
Riyadh R.
Al-Mosawi
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.html
http://cjms.journals.umz.ac.ir/article_50_443a64b5e7b4d5d4467a5ed58b14e59d.pdf
University of Mazandaran
Caspian Journal of Mathematical Sciences
1735-0611
1
2
2012
07
29
Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation
109
116
EN
C.M.
Khalique
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.
Generalized Kuramoto-Sivashinsky equation,integrability,Lie symmetry methods,Simplest equation method
http://cjms.journals.umz.ac.ir/article_51.html
http://cjms.journals.umz.ac.ir/article_51_4b03e84b181813878f791a9deee22370.pdf