Volume 27, No. 1 (2017)
Articles
CONTRA m- CONTINUOUS MULTIFUNCTIONS IN FUZZY SET THEORY
ANJANA BHATTACHARYYA
In this paper, a new type of fuzzy multifunction is introduced between a set having min-imal structure [15, 16] and a fuzzy topological space (fts, for short) in the sense of Chang [6] which generalizes fuzzy contra continuous multifunction. It is also shown that the im-age of an m-compact space [15, 16] under this fuzzy multifunction is fuzzy s-closed [20] under certain conditions.
STRONGLY GENERALIZED (WEAKLY) δ-SUPPLEMENTED MODULES
FIGEN ERYILMAZ
In this paper, we introduce strongly generalized (weakly) δ-supplemented modules. We call a module strongly generalized (weakly) δ-supplemented (briefly δ-SGS (δ-SWGS)) if every submodule containing the δ-radical has a (weak) δ-supplement. The first part of this paper investigates various properties of δ-SGS modules. We prove that δ-SGS modules are closed under factor modules and finite sums. Using these modules, we show that a ring R is δ-semiperfect if and only if every left R-module is a δ-SGS module. The second part of this paper establishes some properties of δ-SWGS modules.
SEMIOPEN SETS IN IDEAL MINIMAL SPACES
S. JAFARI(1), N. RAJESH(2) and R. SARANYA(3)
In this paper, we present and study the concepts of semiopen sets and their related no-tions in ideal minimal spaces.
ON A MAXIMAL OPERATOR IN REARRANGEMENT INVARIANT BANACH FUNCTION SPACES ON METRIC SPACES
MARCELINA MOCANU
We introduce a maximal operator for functions defined on a doubling metric measure space, belonging to a rearrangement Banach function space. We provide some estimates for the distribution function of this operator, generalizing results proved by Bastero, Mil-man and Ruiz (1999) in the Euclidean case and by Costea and Miranda (2012) for New-tonian Lorentz spaces on metric spaces.
SOME GEOMETRICAL ASPECTS OF A HORIZONTAL DISTRIBUTION OF PFAFF SYSTEMS ON MANIFOLDS
VALER NIMINEŢ
We continue our investigation [7] and [8] of Pfaff systems on manifolds by studying the horizontal distributions that are supplementary to the vertical distributions on the total space of a submersion. The horizontal distribution is kernel of the Pfaff system. We point out the Berwald connection induced by a nonlinear connection and its curvature tensors.
FIXED POINT THEOREMS FOR TWO PAIRS OF WEAKLY COMPATIBLE MAP-PINGS SATISFYING A NEW TYPE OF COMMON LIMIT RANGE PROPERTY
VALERIU POPA(1) and ALINA-MIHAELA PATRICIU(2)
The purpose of this paper is to prove a general fixed point theorem for two pairs of map-pings satisfying a new type of common limit range property. In the last part of the paper, as applications, some fixed point results for mappings satisfying contractive conditions of integral type, for ϕ - contractive mappings and ψ- weak contractive mappings, gener-alizing Theorem 2 [27] and other known results, are obtained.
COMMON FIXED POINT THEOREM FOR TWO PAIRS OF MAPPINGS SATIS-FYING A NEW TYPE OF COMMON LIMIT RANGE PROPERTY IN PARTIAL METRIC SPACES
VALERIU POPA(1) and ALINA-MIHAELA PATRICIU(2)
The purpose of this paper is to prove a general fixed point theorem for two pairs of map-pings involving altering distances and satisfying a new type of common limit range prop-erty in partial metric spaces. In the last part of the paper, as applications, some fixed point results for a sequence of mappings, for mappings satisfying contractive condi-tions of integral type and for ϕ- contractive mappings in partial metric spaces are ob-tained.
SELECTED OPEN PROBLEMS IN VECTORIAL OPTIMIZATION
VASILE POSTOLICĂ
We present some significant open problems in Euclidean spaces , nN* which can be extended, mutatis mutandis, to for every non –empty set I .
SUBSPACES IN RHEONOMIC FINSLER SPACES
OTILIA LUNGU
The purpose of the present paper is to investigate some properties of subspaces in Rhe-onomic Finsler Spaces.We describe the induced connections of the subspaces.
PRESIC TYPE FIXED POINT THEOREM FOR FOUR MAPS IN PARTIAL b-METRIC-LIKE SPACES
K.P.R.RAO(1), M.IMDAD(2) and E.T.RAMUDU(3)
In this paper, we obtain a Presic type fixed point theorem for two pairs of jointly 2k-weakly compatible maps in partial b-metric-like spaces.We also give an example to illus-trate our main theorem. We obtain three corollaries, for three and two maps respectively, which are variations of theorems from the papers [1, 2] and [8].
SOME RESULTS ON QUARTER-SYMMETRIC METRIC CONNECTION ON A PARA-SASAKIAN MANIFOLDS
S. YADAV(1), D.L. SUTHAR(2) and D. NARAIN(3)
We classify para-Sasakian manifolds with respect to quarter-symmetric metric connection. Among others it is proved that ϕ -concircularly at para-Sasakian manifold is an η-Einstein manifold and a non-semisymmetric Ricci-generalized pseudosymmetric para-Sasakian manifold has constant curvature if and only if the space like vector field ξ is harmonic. Para-Sasakian manifolds admitting certain conditions on the concircular curva-ture tensor and Ricci tensor are studied and several new results are obtained.