Fan-KKM Theorem in Minimal Vector Spaces and its Applications
Mehdi
Roohi
Department of Mathematics, Faculty of Sciences, Golestan University
author
Mohsen
Rostamian Delavar
Young Researchers Club, Semnan Branch, Islamic Azad University
author
text
article
2012
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
1
v.
2
no.
2012
53
60
http://cjms.journals.umz.ac.ir/article_44_13167a85119bee710d59257cd10826d5.pdf
On the Superstability and Stability of the Pexiderized Exponential Equation
Mohsen
Alimohammady
Department of Mathematics, University of Mazandaran
author
Ali
Sadeghi
Department of Mathematics, University of Mazandaran
author
text
article
2012
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
1
v.
2
no.
2012
61
74
http://cjms.journals.umz.ac.ir/article_45_f7d32d951e0682ec78c76d90b94637e6.pdf
Best Approximation in TVS
M. R.
Haddadi
Faculty of Mathematics, Ayatollah Boroujerdi University,
Boroujerd, Iran
author
J.
Hamzenejad
author
text
article
2012
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
1
v.
2
no.
2012
75
79
http://cjms.journals.umz.ac.ir/article_46_ed759bc39b763a1d8e3872fb29c34ecd.pdf
A Uniqueness Theorem of the Solution of an Inverse Spectral Problem
A.
Neamaty
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
author
S.
Mosazadeh
Department of Pure Mathematics, Faculty of Mathematical Sciences,
University of Kashan
author
M.
Bagherzadeh
Department of Mathematics, University of Mazandaran,
Babolsar, Iran
author
text
article
2012
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
1
v.
2
no.
2012
80
87
http://cjms.journals.umz.ac.ir/article_47_a37b15bea5c428f42bf038eb5aa933a3.pdf
1-Soliton Solution of the Biswas-Milovic Equation With Log Law Nonlinearity
Fayequa.
Majid
Department of Physics, Chemistry & Mathematics
Alabama A & M University
author
text
article
2012
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
1
v.
2
no.
2012
88
93
http://cjms.journals.umz.ac.ir/article_48_f58765c4a37548088dddf4639f111f9b.pdf
n-fold Commutative Hyper K-ideals
P.
Babari
Department of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran
author
M.
Pirasghari
Department of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran.
author
M. M.
Zahedi
Department of Mathematics, Faculty of Mathematics,
Tarbiat Modares University, Tehran, Iran.
author
text
article
2012
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
1
v.
2
no.
2012
94
103
http://cjms.journals.umz.ac.ir/article_49_50a78a440f61c84e87516e6609fc05e4.pdf
Comments on Multiparameter
Estimation in Truncated Power Series Distributions under the Stein's Loss
Riyadh R.
Al-Mosawi
Department of Mathematics, Thiqar University, Iraq
author
text
article
2012
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
1
v.
2
no.
2012
104
108
http://cjms.journals.umz.ac.ir/article_50_443a64b5e7b4d5d4467a5ed58b14e59d.pdf
Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation
C.M.
Khalique
Department of Mathematical Sciences, North-West University,
Makeng Campus, Private Bag X 2046, Mmabatho 2735,
Republic of South Africa
author
text
article
2012
eng
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.
Caspian Journal of Mathematical Sciences
University of Mazandaran
1735-0611
1
v.
2
no.
2012
109
116
http://cjms.journals.umz.ac.ir/article_51_4b03e84b181813878f791a9deee22370.pdf