2017-11-23T05:01:11Z
http://cjms.journals.umz.ac.ir/?_action=export&rf=summon&issue=10
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2012
1
2
Fan-KKM Theorem in Minimal Vector Spaces and its Applications
Mehdi
Roohi
Mohsen
Rostamian Delavar
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
2012
07
29
53
60
http://cjms.journals.umz.ac.ir/article_44_13167a85119bee710d59257cd10826d5.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2012
1
2
On the Superstability and Stability of the Pexiderized Exponential Equation
Mohsen
Alimohammady
Ali
Sadeghi
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
2012
07
29
61
74
http://cjms.journals.umz.ac.ir/article_45_f7d32d951e0682ec78c76d90b94637e6.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2012
1
2
Best Approximation in TVS
M. R.
Haddadi
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.
2012
07
29
75
79
http://cjms.journals.umz.ac.ir/article_46_ed759bc39b763a1d8e3872fb29c34ecd.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2012
1
2
A Uniqueness Theorem of the Solution of an Inverse Spectral Problem
A.
Neamaty
S.
Mosazadeh
M.
Bagherzadeh
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
2012
07
29
80
87
http://cjms.journals.umz.ac.ir/article_47_a37b15bea5c428f42bf038eb5aa933a3.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2012
1
2
1-Soliton Solution of the Biswas-Milovic Equation With Log Law Nonlinearity
Fayequa.
Majid
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
2012
07
29
88
93
http://cjms.journals.umz.ac.ir/article_48_f58765c4a37548088dddf4639f111f9b.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2012
1
2
n-fold Commutative Hyper K-ideals
P.
Babari
M.
Pirasghari
M. M.
Zahedi
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
2012
07
29
94
103
http://cjms.journals.umz.ac.ir/article_49_50a78a440f61c84e87516e6609fc05e4.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2012
1
2
Comments on Multiparameter
Estimation in Truncated Power Series Distributions under the Stein's Loss
Riyadh R.
Al-Mosawi
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.
2012
07
29
104
108
http://cjms.journals.umz.ac.ir/article_50_443a64b5e7b4d5d4467a5ed58b14e59d.pdf
Caspian Journal of Mathematical Sciences
CJMS
1735-0611
1735-0611
2012
1
2
Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation
C.M.
Khalique
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
2012
07
29
109
116
http://cjms.journals.umz.ac.ir/article_51_4b03e84b181813878f791a9deee22370.pdf