Volume 25, No. 1 (2015)
Articles
THE RESEARCH OF UNORDER TABLES AS ALGEBRAIC STRUCTURES
LUCIA BITCOVSCHI
The purpose of the paper is research unordered tables as algebraic structures. Algebraic properties were investigated operations tables union, intersection and difference. It was proposed in C+ + a generic parameterized class with abstract class records tabular representation which allows modeling work with tables arranged in terms of algebraic structures [1,2].
ALGORITHMS FOR SOLVING STOCHASTIC DISCRETE OPTIMAL CONTROL PROBLEMS ON NETWORKS
MARIA CAPCELEA(1) and TITU CAPCELEA(2)
In this paper we consider the stationary stochastic discrete optimal control problem with average cost criterion. We formulate this problem on networks and propose polynomial time algorithms for determining the optimal control by using a linear programming approach.
AN EXTENSION OF CHEEGER DIFFERENTIAL OPERATOR FROM LIPSCHITZ FUNCTIONS TO ORLICZ-SOBOLEV FUNCTIONS ON METRIC MEASURE SPACES
MARCELINA MOCANU
We introduce two types of Orlicz-Sobolev spaces on a metric measure space. One space is the completion of locally Lipschitz functions in a norm of Orlicz-Sobolev type involving an abstract differentiation operator and the other space is de_ned via an Orlicz-Poincaré inequality. We prove that these spaces agree and are reflexive provided that the measure is doubling and the Young function defining the underlying Orlicz space is doubling, together with its complementary function. In the case where the Young func-tion is a power function with exponent greater than one, we recover some results of Fran-chi, Hajłasz and Koskela (1999).
A GENERAL FIXED POINT THEOREM FOR OCCASIONALLY WEAKLY COMPATIBLE HYBRID MAPPINGS
VALERIU POPA
In the present paper a general fixed point theorem for two pairs of occasionally weakly compatible mappings is proved. This theorem generalizes some results by metric spaces, symmetric spaces, quasi - metric spaces, b - metric spaces, generalized metric spaces, G- metric spaces.
A GENERAL FIXED POINT THEOREM FOR MAPPINGS SATISFYING A CYCLICAL CONTRACTIVE CONDITION IN G - METRIC SPACES
VALERIU POPA, ALINA-MIHAELA PATRICIU
In this paper a general fixed point theorem for mappings satisfying a cyclical implicit contractive relation which extends the results from [3], [10], [15], [17], [21], [23], [24], [27] to G - metric spaces is proved.
FAST ALGORITHMS OF DUALLY CHORDAL GRAPHS
MIHAI TALMACIU
We give a characterization of hereditary dually chordal graphs using weak decomposition. We also give a recognition algorithm for hereditary dually chordal graphs and we determine the combinatorial optimization numbers in efficient time.
omega-beta-SEPARATION AXIOMS
H. H. ALJARRAH(1), M. S. M. NOORANI(2) and T. NOIRI(3)
The separation axioms are important and interesting concepts in topological spaces. In this paper, we introduce and investigate some weak separation axioms by using the notion of ωβ-open set.
MEROMORPHIC FUNCTION WITH SOME POWER SHARING A SMALL FUNCTION WITH THE DIFFERENTIAL POLYNOMIAL GENERATED BY THE FUNCTION
ABHIJIT BANERJEE, SANTANU DHAR
Taking Yu's [19] result in background we investigate the uniqueness of some power of meromorphic functions sharing a small function with the differential polynomial generated by the function. Our results will extend and improve a number of existing results in a different direction.
FUZZY UPPER AND LOWER M-CONTINUOUS MULTIFUNCTIONS
ANJANA BHATTACHARYYA
In this paper we introduce the notion of fuzzy upper and lower M-continuous multifunctions as generalizations of upper and lower M-continuous multifunctions [28], as fuzzy multifunctions between sets having certain minimal structures. We also prove that m-compact sets from a space with minimal structures have fuzzy m-compact images under surjective fuzzy upperM-continuous multifunctions, provided that some natural conditions are satisfied. Lastly we show that the notions of fuzzy upper and lower M-continuous multifunctions unify several forms of generalized continuity for fuzzy multifunctions from a topological space into a fuzzy topological space.
SOME HERMITE-HADAMARD TYPE INEQUALITIES FOR FUNCTIONS WHOSE PRODUCTS WITH EXPONENTIALS ARE CONVEX
S. S. DRAGOMIR, I. GOMM
We prove several inequalities of Hermite-Hadamard type for real functions having a convex product with an exponential exp (α·) for some nonzero real number α:
VERTICAL FOLIATION ASSOCIATED TO A CARTAN SPACE
MIHAI ANASTASIEI(1) and MANUELA GÎRŢU(2)
The cotangent bundle of a smooth manifold, as a particular submersion, carries a natural foliation called vertical defined by the kernel of the differential of the projection of the cotangent bundle on its base manifold. The vertical foliation is a La-grangian one with respect to the natural symplectic structure of the cotangent bundle. It has new properties if the cotangent bundle has additional geometrical structures, for instance those induced by a non-degenerate homogeneous Hamiltonian. A Cartan space is a manifold whose cotangent bundle is endowed with a smooth non-degenerate Hamiltonian K^2 which is positively homogeneous of degree 2 in momenta. Then the vertical foliation becomes a semi Riemannian foliation whose transversal distri-bution is completely determined by K and is orthogonal on the vertical distribution with respect to a semi Riemannian metric of Sasaki type. In this framework various linear connections will be associated to and some properties of the vertical foliation will be pointed out.
RHEONOMIC INGARDEN SPACES
OTILIA LUNGU
This paper presents a particular type of rheonomic Finsler space, called rheonomic Ingarden space. The canonical semispray, the local coefficients of the Lorentz connection and the expressions for the curvature and for the torsion are established.
ON RANDERS SPACES OF CONSTANT CURVATURE
H. G. NAGARAJA
In this paper we study the Randers manifolds of constant curvature induced by generalized Sasakian space forms with different almost contact structures.
RHEONOMIC GENERAL RANDERS MECHANICAL SYSTEMS
OTILIA LUNGU, VALER NIMINEŢ
This paper presents a special type of rheonomic Finslerian Mechanical System called rheonomic General Randers Mechanical System, establishing the canonical semispray, the local coefficients of the Lorentz connection and the expressions for the curvature and for the torsion.
PERSONALIZED QR CODES APPLICATION
DANIEL POP(1) and CAMELIA-M. PINTEA(2)
The current paper introduces new software to easily encoding diverse data with Quick Response Codes (QR codes). The user friendly tool includes also a database with personal QR codes. The management of the database is facilitated by a specific software design.
BUILDING AN AVATAR IN HASKELL 98. PRELIMINARIES: IS HOPENGL ENOUGH ?
DAN POPA
In this paper the author is trying to put the HOPENGL, the 3D graphic library available in Haskell to work, in order to check if it's good enough to conveniently build a 3D avatar.
ON πgI-CONTINUOUS FUNCTIONS ON IDEAL TOPOLOGICAL SPACES
R. SANTHI(1) and M. RAMESHKUMAR(2)
In this paper, πgI-continuous functions, quasi semi-*-normal spaces and πgI -regular spaces are introduced. Characterizations and properties of the newly introduced notions are studied, as well as some connections between this notions.
SOLITARY SUBGROUPS AND SOLITARY QUOTIENTS OF ZM-GROUPS
MARIUS TĂRNĂUCEANU
The main goal of this note is to describe the lattices of solitary subgroups and of solitary quotients of a ZM-group.
A WEAK CONVERGENCE THEOREM FOR A KRASNOSELSKIJ TYPE FIXED POINT ITERATIVE METHOD IN HILBERT SPACES USING AN ADMISSIBLE PERTURBATION
CRISTINA ŢICALĂ
The aim of this paper is to prove a weak convergence theorem for a general Krasnoselskij type fixed point iterative method defined by means of the new concept of admissible perturbation of a firmly nonexpansive mapping and a nonspreading mapping in Hilbert spaces.
GET CABS AND BUSES IN METROPOLITAN AREAS - A MOBILE APPLI-CATION
ANUŢA VLAD(1) and MARA HAJDU-MĂCELARU(2)
The current paper introduces new mobile software to get cabs or to identify the closer bus station in a particular metropolitan area. The software could be easily modified to be used in any large metropolitan area. The application is developed for the Android operating system and uses the Google services to create a mutual agreement localizing application.