ORIGINAL_ARTICLE
Fan-KKM Theorem in Minimal Vector Spaces and its Applications
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
2012-07-29T11:23:20
2018-11-20T11:23:20
53
60
Minimal vector space
Fan-KKM theorem
Matching theorem
Mehdi
Roohi
m.roohi@gu.ac.ir
true
1
Department of Mathematics, Faculty of Sciences, Golestan University
Department of Mathematics, Faculty of Sciences, Golestan University
Department of Mathematics, Faculty of Sciences, Golestan University
LEAD_AUTHOR
Mohsen
Rostamian Delavar
true
2
Young Researchers Club, Semnan Branch, Islamic Azad University
Young Researchers Club, Semnan Branch, Islamic Azad University
Young Researchers Club, Semnan Branch, Islamic Azad University
AUTHOR
ORIGINAL_ARTICLE
On the Superstability and Stability of the Pexiderized Exponential Equation
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
2012-07-29T11:23:20
2018-11-20T11:23:20
61
74
Superstability
Cauchy equation
Stability
Semigroup
Fixed point
Mohsen
Alimohammady
amohsen@umz.ac.ir
true
1
Department of Mathematics, University of Mazandaran
Department of Mathematics, University of Mazandaran
Department of Mathematics, University of Mazandaran
AUTHOR
Ali
Sadeghi
sadeghi.ali68@gmail.com
true
2
Department of Mathematics, University of Mazandaran
Department of Mathematics, University of Mazandaran
Department of Mathematics, University of Mazandaran
AUTHOR
ORIGINAL_ARTICLE
Best Approximation in TVS
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
2012-07-29T11:23:20
2018-11-20T11:23:20
75
79
M. R.
Haddadi
true
1
Faculty of Mathematics, Ayatollah Boroujerdi University,
Boroujerd, Iran
Faculty of Mathematics, Ayatollah Boroujerdi University,
Boroujerd, Iran
Faculty of Mathematics, Ayatollah Boroujerdi University,
Boroujerd, Iran
AUTHOR
J.
Hamzenejad
true
2
AUTHOR
ORIGINAL_ARTICLE
A Uniqueness Theorem of the Solution of an Inverse Spectral Problem
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
2012-07-29T11:23:20
2018-11-20T11:23:20
80
87
Inverse spectral problem
Eigenvalues
Uniqueness theorem
A.
Neamaty
namaty@umz.ac.ir
true
1
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
AUTHOR
S.
Mosazadeh
s.mosazadeh@umz.ac.ir
true
2
Department of Pure Mathematics, Faculty of Mathematical Sciences,
University of Kashan
Department of Pure Mathematics, Faculty of Mathematical Sciences,
University of Kashan
Department of Pure Mathematics, Faculty of Mathematical Sciences,
University of Kashan
AUTHOR
M.
Bagherzadeh
true
3
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
AUTHOR
ORIGINAL_ARTICLE
1-Soliton Solution of the Biswas-Milovic Equation With Log Law Nonlinearity
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
2012-07-29T11:23:20
2018-11-20T11:23:20
88
93
Biswas-Milovic equation
Gausson solution
Ansatz method
Fayequa.
Majid
fayequa.majid@gmail.com
true
1
Department of Physics, Chemistry & Mathematics
Alabama A & M University
Department of Physics, Chemistry & Mathematics
Alabama A & M University
Department of Physics, Chemistry & Mathematics
Alabama A & M University
AUTHOR
ORIGINAL_ARTICLE
n-fold Commutative Hyper K-ideals
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
2012-07-29T11:23:20
2018-11-20T11:23:20
94
103
Hyper K-algebra
Weak hyper K-ideal
Hyper
K-ideal
n-fold Commutative, Implicative hyper K-ideals,
Simple condition
P.
Babari
p.babari@modares.ac.ir
true
1
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
AUTHOR
M.
Pirasghari
m.pirasghari@modraes.ac.ir
true
2
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.
AUTHOR
M. M.
Zahedi
zahedi_mm@modares.ac.ir
true
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.
AUTHOR
ORIGINAL_ARTICLE
Comments on Multiparameter
Estimation in Truncated Power Series Distributions under the Stein's Loss
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
2012-07-29T11:23:20
2018-11-20T11:23:20
104
108
Riyadh R.
Al-Mosawi
true
1
Department of Mathematics, Thiqar University, Iraq
Department of Mathematics, Thiqar University, Iraq
Department of Mathematics, Thiqar University, Iraq
AUTHOR
ORIGINAL_ARTICLE
Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation
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
2012-07-29T11:23:20
2018-11-20T11:23:20
109
116
Generalized Kuramoto-Sivashinsky equation
integrability
Lie symmetry methods
Simplest equation method
C.M.
Khalique
true
1
Department of Mathematical Sciences, North-West University,
Makeng Campus, Private Bag X 2046, Mmabatho 2735,
Republic of South Africa
Department of Mathematical Sciences, North-West University,
Makeng Campus, Private Bag X 2046, Mmabatho 2735,
Republic of South Africa
Department of Mathematical Sciences, North-West University,
Makeng Campus, Private Bag X 2046, Mmabatho 2735,
Republic of South Africa
AUTHOR