Volume 30, No. 1 (2020)
Articles
RICCI SOLITONS IN A HYPER GENERALIZED PSEUDO SYMMETRIC D-HOMOTHETICALLY DEFORMED KENMOTSU MANIFOLD
M. R. BAKSHI(1), D. G. PRAKASHA(2), K. K. BAISHYA(3) AND P. VEERESHA(4)
In this paper we study the nature of Ricci solitons in a hyper generalized pseudosymmet-ric D-homothetically deformed Kenmotsu manifold.
ON Fg Y *-CLOSED SETS IN FUZZY TOPOLOGICAL SPACES
ANJANA BHATTACHARYYA
Starting with Chang [8], many mathematicians have engaged themselves to introduce different types of fuzzy closed-like sets in a fuzzy topological space (fts, for short). Afterwards, in [2, 3, 5, 6, 7] the notion of generalized versions of fuzzy closed set have been studied. In this paper a new type of generalized version of fuzzy -closed set is introduced and studied using -closed set as a basic tool.
A NEW TYPE OF CLOSURE-LIKE OPERATOR VIA FUZZY SEMIOPEN SETS
ANJANA BHATTACHARYYA
This paper deals with a new type of closure operator in fuzzy topological spaces, called sc-closure operator, which is an idempotent operator. Then the mutual relationships of this operator with the operators defined in [2, 3, 4, 6, 9, 10] are established. Afterwards, a new type of separation axiom is introduced and studied here. In every space with this axiom assumed fuzzy semiclosure operator and this new operator are identical. In the last section some characterizations of sc -closure operator have been done via fuzzy net.
ON RELATIVE DEFICIENCIES OF COMMON ROOTS ON THE BASIS OF IN-TEGRATED MODULI OF LOGARITHMIC DERIVATIVE OF ENTIRE AND MEROMORPHIC FUNCTION
SANJIB KUMAR DATTA(1), SUKALYAN SARKAR(2), SURAJIT HAZRA(3) and ASHIMA BANDYOPADHYAY(4)
The main target of our paper is to derive some bounds related to the relative deficiencies of common roots from the viewpoint of integrated moduli of logarithmic derivative of entire and meromorphic functions. Some examples are also provided to validate the re-sults obtained.
COMPARATIVE GROWTH OF COMPOSITE ENTIRE FUNCTIONS WITH FINITE LOGARITHMIC ORDER
CHINMAY GHOSH(1), SANJIB KUMAR DATTA(2), SUBHADIP KHAN(3) and SUTAPA MONDAL(4)
In this article we studied some growth properties of composite entire functions with finite logarithmic order. We also proved some results on the growth of composite entire func-tions of finite logarithmic order with respect to their maximum terms. Further we proved some results on the relative growth of one set of composite entire functions with another set of composite entire functions having the same right factor as well as having different left and right factors with respect to logarithmic order.
Sγϕ-CLOSED SETS IN A FUZZY TOPOLOGICAL SPACE ENDOWED WITH A FUZZY STACK
PRAKASH MUKHERJEE
The main purpose of this article is to introduce and study a concept of a generalized type of fuzzy closed (open) sets in a fuzzy topological space that is endowed with a fuzzy stack. Also several properties of these sets have been studied. Finally by using the aforesaid kind of generalized fuzzy closed sets, we have defined and studied two classes of functions between such spaces, which turn out to be respectively smaller and larger than that of fuzzy continuous functions.
A GENERAL FIXED POINT THEOREM FOR TWO PAIRS OF MAPPINGS SAT-ISFYING A MIXED IMPLICIT RELATION IN G - METRIC SPACES
VALERIU POPA(1) and ALINA-MIHAELA PATRICIU(2)
In this paper we extend Theorem 3.2 [32] to G – metric spaces. As applications, we obtain new results for mappings satisfying contractive conditions of integral type and for map-pings satisfying ϶- contractive conditions.
COMMON FIXED POINTS FOR ABSORBING MAPPINGS SATISFYING A CO-INCIDENCE RANGE PROPERTY IN DISLOCATED METRIC SPACES
VALERIU POPA(1) and DAN POPA(2)
In this paper a general fixed point theorem for two pairs of pointwise absorbng mappings in dislocated metric space is proved. As applications we obtain new results for mappings satisfying contractive conditions of integral type and for ϕ-contractive mappings.
ON RADICAL AND ZERO DIVISORS IN SUPERTOPOLOGICAL RINGS
BHASKAR VASHISHTH(1) and DAVINDER SINGH(2)
The concept of supertopological rings is introduced and results related to the structure of their radical are proved. Further, we have defined D-compactness and total D-disconnectedness and proved their extension from the set of right zero divisors to the whole ring.