University of Mazandaran Caspian Journal of Mathematical Sciences (CJMS) 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 (CJMS) 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 (CJMS) 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 (CJMS) 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 (CJMS) 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 (CJMS) 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 . 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 (CJMS) 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 (CJMS) 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, Ma keng 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