23.04.2017

 Print Edition: ISSN 1584 - 2851 Online Edition: ISSN 1843 - 4401 Carpathian J. Math. is a category A journal in the CNCSIS classification Impact Factor 2015:     0.610 Current rejection rate: 80 % RSS

Vol. 22 (2006), No. 1-2,
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 Les ideaux bornologiques de type $\mathcal L\Im$ Author: Belmesnaoui Aqzzouz / Redouane Nouira Abstract: We introduce the bornological ideals of type $\mathcal L\Im$ and we show that the boundedness of a bornological ideal of type $\mathcal L\Im$ is unique.PDF | DVI | PS | No. of downloads: 949 Full access PDF | DVI | PS | Positive solutions of functional differential equations Author: Sorin Budișan Abstract: PDF | DVI | PS | No. of downloads: 1010 Full access PDF | DVI | PS | Weak forms of open and closed functions via semi-$\theta$-open sets Author: Miguel Caldas / Saeid Jafari / Govindappa Navalagi Abstract: In this paper, we introduce and study two new classes of functions by using the notions of semi-$\theta$-open sets and semi-$\theta$-closure operator called weakly semi-$\theta$-open and weakly semi-$\theta$-closed functions. The connections between these functions and other existing well-known related functions are investigated.PDF | DVI | PS | No. of downloads: 1050 Full access PDF | DVI | PS | Fixed point theorems for multivalued generalized Author: Adela Chiș Abstract: We present fixed point theorems for generalized multivalued contractions on complete gauge spaces.PDF | No. of downloads: 409 Full access PDF | DVI | PS | A note on a paper of Chatzidakis-Pappas Author: Peter Danchev / Kostadin Nedelchev Abstract: In this brief note we give a new algebraic interpretation, which is also a non-elementary extension, of an assertion due to Chatzidakis-Pappas appeared in J. Symbolic Logic (2001).PDF | No. of downloads: 305 Full access PDF | DVI | PS | Omega Polynomial Author: Mircea V. Diudea Abstract: A new counting polynomial, called the Omega $\Omega(G, x)$ polynomial, is proposed on the ground of quasi-orthogonal cut qoc edge strips in a bipartite lattice. Within a qoc not all cut edges are necessarily orthogonal, meaning not all are pairwise codistant. Two topological indices: $CI$ (Cluj-Ilmenau), eventually equal to the well-known $PI$ index, in planar, bipartite graphs and $I_\Omega$ are defined on the newly proposed polynomial and exemplified. Closed analytical formulas for $\Omega(G, x)$ in polyhex tori are given.PDF | No. of downloads: 362 Full access PDF | DVI | PS | The SOR method for infinite systems of linear equations (III) Author: Bela Finta Abstract: In [3], [4] we presented the extension of the Jacobi and Gauss-Seidel iterative numerical method from the case of finite linear systems to the case of infinite systems. The purpose of this paper is to extend the classical SOR (successiv over relaxation) method, known for finite linear systems, to infinite systems.PDF | No. of downloads: 347 Full access PDF | DVI | PS | Successive approximations for the solution of second order advanced Author: Răzvan V. Gabor Abstract: For the initial value problem associated with second order advanced differential equation on Banach space, it is constructed a numerical method to approximate the solution. The method uses the sequence of Picard successive approximations and the trapezoidal quadrature rule (adapted for Lipschitzian functions with values in Banach spaces).PDF | No. of downloads: 309 Full access PDF | DVI | PS | On differences of positive linear operators Author: Heiner Gonska / Paula Piţul / Ioan Raşa Abstract: We continue our research on the differences of positive linear operators by giving estimates for such differences. Special emphasis is on the Bernstein operators, Beta operators of the second kind as introduced by Lupaş, piecewise linear interpolation at equidistant knots and on certain products of these mappings.PDF | No. of downloads: 378 Full access PDF | DVI | PS | Some boundedness properties of certain operators Author: Gheorghe Miclăuș Abstract: PDF | No. of downloads: 304 Full access PDF | DVI | PS | Superpositions of functions involved in nomography Author: Maria Mihoc Abstract: The current paper deals with the conditions by which the functions of more variables, and also the equations which contain such functions, can be represented by the superpositions of functions of fewer variables. We will also give the corresponding nomograms by which these functions are nomographically represented.PDF | No. of downloads: 286 Full access PDF | DVI | PS | Equations involving arithmetic functions Author: Gabriel Mincu / Laurențiu Panaitopol Abstract: We solve a few equations concerning arithmetic functions. The proofs in the last section are based on known (but difficult) inequalities.PDF | No. of downloads: 307 Full access PDF | DVI | PS | On $p$-cluster sets and their application to $p$-closedness Author: M. N. Mukherjee / B. Roy Abstract: In this paper, the study of a new type of cluster sets for functions and multifunctions between topological spaces has been initiated by use of preopen sets of [8]. Such a notion of cluster sets is characterized and studied to some extent. In the process, a characterization of Hausdorffness is achieved in terms of the cluster set of a certain class of functions. An important application of the study is exhibited by establishing a characterization of the concept of $p$-closedness of [7] via the introduced idea of cluster set of multifunctions.PDF | No. of downloads: 305 Full access PDF | DVI | PS | On limit law for freely independent random variables with free products Author: Bogdan-Gh. Munteanu Abstract: RETRACTED No. of downloads: Full access PDF | On the convergence of the Mann iteration in locally convex spaces Author: J. O. Olaleru Abstract: The approximation of fixed points of some quasi contractive operators in arbitrary Banach spaces using the Mann iterative procedure is generalized to complete metrisable locally convex spaces. This turns out to be an extension of a result of Berinde [2] which in turn is an extension of a theorem of Rhoades [12].PDF | DVI | PS | No. of downloads: 868 Full access PDF | DVI | PS | A note on the direct limit of a direct system of multialgebras in a subcategory of multialgebras Author: Cosmin Pelea Abstract: We will present some properties of the direct limit of a direct system of multialgebras in a subcategory of the category of multialgebras obtained by considering as morphisms the ideal multialgebra homomorphisms.PDF | No. of downloads: 304 Full access PDF | DVI | PS | At least version of the generalized minimum spanning tree problem Author: Petrică C. Pop / Andrei Horvat Marc / Corina Pop Sitar Abstract: We consider the at least version of the Generalized Minimum Spanning Tree Problem, denoted by L-GMST, which consists in finding a minimum cost tree spanning at least one node from each node set of a complete graph with the nodes partitioned into a given number of node sets. We describe new integer programming formulations of the L-GMST problem and establish relationships between the polytopes corresponding to their linear relaxations.PDF | No. of downloads: 332 Full access PDF | DVI | PS | On totally $\widetilde{g}s$-continuity, strongly $\widetilde{g}s$ Author: Neelamegarajan Rajesh / Erdal Ekici Abstract: PDF | No. of downloads: 304 Full access PDF | DVI | PS | On a conjecture for weighted interpolation using Chebyshev polynomials of the third and fourth kinds Author: Simon J. Smith Abstract: A conjecture for the projection norm (or Lebesgue constant) of a weighted interpolation method based on the zeros of Chebyshev polynomials of the third and fourth kinds is resolved. This conjecture was made in a paper by J. C. Mason and G. H. Elliott in 1995. The proof of the conjecture is achieved by relating the projection norm to that of a weighted interpolation method based on zeros of Chebyshev polynomials of the second kind.PDF | No. of downloads: 273 Full access PDF | DVI | PS | Controlling chaos of a dynamical system with feedback control Author: Gheorghe Țigan Abstract: The present work is devoted to control chaotic behavior of a three--dimensional differential system introduced in \cite{tig2}. We stabilize the chaotic dynamics of the system to the unstable equilibrium points. The Lyapunov function method is employed. Using a linear controller, the system is controlled to a stable state. Numerical illustrations are presented to show the control process.PDF | No. of downloads: 287 Full access PDF | DVI | PS | Viscosity approximation methods for nonexpansive mapping in Banach spaces Author: Xiaolong Qin / Yongfu Su Abstract: PDF | DVI | No. of downloads: 647 Full access PDF | DVI | PS | On embedding Fibonacci meshes on Fibonacci cube networks Author: Ioana Zelina Abstract: The Fibonacci cube was presented as a new topology for interconnection networks. Due to his strong recursive structure, the Fibonacci cube posses many attractive properties. In this papers we show how two Fibonacci meshes can be simultaneously embedded in a Fibonacci cube with dilation 1.PDF | No. of downloads: 319 Full access PDF | DVI | PS | On finite groups of whose all proper subgroups are Author: Hossein Andikfar / Ali Reza Ashrafi Abstract: PDF | DVI | PS | No. of downloads: 1100 Full access PDF | DVI | PS |

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