Volume 30, No. 2 (2020)
Articles
CONSTRUCTIVE COUNTERPARTS OF A QUASIORDER
MARIAN BARONI
Co-quasiorder relations, the constructive counterpart of classical quasiorder relations are examined within the framework of Bishop’s constructive mathematics. Two classically equivalent, but constructively inequivalent, notions of co-quasorder are investigated. It turns out that a weak co-quasorder is a co-quasiorder if and only if it is quasi-detachable. As a consequence, the incomparability relation associated to a co-quasiorder is quasi-detachable.
fmg-CLOSED SETS IN FUZZY TOPOLOGICAL SPACES
ANJANA BHATTACHARYYA
After the introduction of a fuzzy generalized version of closed set in [2, 3], different types of generalized versions of fuzzy closed sets have been introduced and studied. In this context, we have to mention [3, 5, 6, 7, 8, 9, 10, 11]. In this paper we study the notion of fmg-closed set, which was introduced in [9].
ω-SEMI-SYMMETRIC SASAKIAN MANIFOLDS ADMITTING GENERAL CON-NECTION
ASHIS BISWAS(1), ASHOKE DAS(2) and KANAK KANTI BAISHYA(3)
The object of the present paper is to study the properties of Sasakian manifold in the light of general connection, which is induced with quarter symmetric metric connection, Tanaka Webster connection, Schouten-Van Kampen connection and Zamkovoy connec-tion. We consider ω*-semi-symmetric Sasakian manifolds. Furthermore, we discuss the Sasakian manifold satisfying R* (X, Y ) · Z* = 0. Here ω* is quasi-conformal curvature tensor and Z* is Z-tensor with respect to general connection.
ON THE DISTRIBUTION OF ZEROS OF BICOMPLEX VALUED ENTIRE FUNC-TIONS IN A CERTAIN DOMAIN
SANJIB KUMAR DATTA(1), TANCHAR MOLLA(2), JAYANTA SAHA(3) and TANDRA SARKAR(4)
Bicomplex algebra is a modern developed area which is a generalization of the field of complex numbers. In this paper we derive some results related to the distribution of zeros of bicomplex valued entire functions in a certain domain. A few examples with related figures are given here to justify the results obtained.
ON THE GROWTH OF COMPOSITE ENTIRE FUNCTIONS WITH FINITE ITERATED LOGARITHMIC ORDER
CHINMAY GHOSH(1), SANJIB KUMAR DATTA(2), SUTAPA MONDAL (3) and SUBHADIP KHAN(4)
In this article we studied some growth properties of composite entire functions with finite iterated logarithmic order. Also, we defined iterated logarithmic order of an entire func-tion by using their maximum term. Further, we proved some results on the growth of composite entire functions of finite iterated logarithmic order in terms of their maximum terms.
WEAK FORMS OF OPEN FUNCTIONS BETWEEN MINIMAL STRUCTURE SPACES AND BOUNDARY PRESERVATION
MARCELINA MOCANU
In this note we continue the study of almost M−open functions between spaces with min-imal structure, also taking into account the unified theory of weakly M−open functions developed by Noiri and Popa. Our main result is a characterization of almost M−open functions via preservation of boundary under inverse image, generalizing a classical characterization of open functions in topological spaces. We partially extend this result to the setting of generalized closure spaces, which allows us to obtain, as a special case, a new characterization of weakly M−open functions in terms of m−θ−boundary preservation.
λ-NUMBER OF BANANA TREES
M. MURUGAN(1), P. SRIRAMAN(2) and M. SURIYA(3)
An L(2, 1)-labeling of a graph G is an assignment f from the vertex set V (G) to the set of non-negative integers such that |f(x) − f(y)| ≥ 2 if x and y are adjacent and |f(x) − f(y)| ≥ 1 if x and y are at a distance 2, for all x and y in V (G). A k-L(2, 1)-labeling is an L(2, 1)-labeling f : V (G) → {0, 1, . . . , k}, and we are interested to find the minimum k among all possible labelings. This invariant, the minimum k, is known as the L(2, 1)-labeling number or λ-number and is denoted by λ(G). In this paper, we consider banana trees of type 1, banana trees of type 2 and path-union of k-copies of the star K1,n and find the λ-numbers of them.
DUAL JET GEOMETRICAL OBJECTS OF MOMENTA IN THE TIME-DEPENDENT HAMILTON GEOMETRY
MIRCEA NEAGU(1) and ALEXANDRU OANĂ(2)
The aim of this paper is to obtain on the dual 1-jet space J1* (R, M) the main geometrical objects used in the dual jet geometry of time-dependent Hamiltonians. We talk about dis-tinguished (d-) tensors, time-dependent semisprays, nonlinear connections and their math-ematical connections.
ON δ–β–GENERALIZED CLOSED SETS IN TOPOLOGICAL SPACES
MANISHA SHRIVASTAVA(1), TAKASHI NOIRI(2) and PURUSHOTTAM JHA(3)
The concepts of δ–β–open sets and δ–β–continuous functions have been introduced by Hatir and Noiri [12] and the ideas were further investigated and their properties have been explored in [13]. In the present paper we introduce a new notion of generalized closed sets called δβg–closed sets in topological spaces which is the more general form of generalized δ–closed, δ–generalized–semi–closed, δ generalized preclosed and δ–β–closed sets. Extending this idea to define and study δβg–quotient maps and δβg-regular and δβg–normal spaces, the authors have explored further characterizations of the new concept.