S*-pairwise Compactness in L-bitopological Space

2010 ◽  
Author(s):  
Shou-Bin Sun ◽  
Ling-Qiang Li ◽  
Guang-Wu Meng
Keyword(s):  
Bitopological Space

Λ-Generalized closed sets with respect to an ideal bitopological space

2011 ◽  
Vol 24 (1) ◽  
pp. 97-101
Author(s):  
A. Ghareeb ◽  
T. Noiri
Keyword(s):  
Bitopological Space ◽  
Closed Sets

Strategies in Mixed Budget: A Bitopological Approach

2018 ◽  
Vol 15 (01) ◽  
pp. 85-94
Author(s):  
Santanu Acharjee ◽  
Binod Chandra Tripathy
Keyword(s):  
Time Series ◽  
World Bank ◽  
Upper Bounds ◽  
Line Graphs ◽  
Mathematical Tool ◽  
Economic Literature ◽  
Bitopological Space ◽  
Reserve Bank ◽  
Local Functions ◽  
Reserve Bank Of India

The forecasting graphs of World Bank, Reserve Bank of India, etc. are mostly line graphs or time series graphs. Any forecasting contains “standard error” as an error with complicated statistical formulae. A keen observation shows that mathematical patterns are available in nature, but in most of the cases, it is difficult for us to recognize these patterns. Similarly, it is most important for us to know the least upper bounds of these line graphs or time series graphs so that peaks of the prices with respect to time will not exceed these least upper bounds. It is hard to find any statistical or mathematical tool to determine these least upper bounds. Thus we give methodology to obtain these least upper bounds. We show existence of an equilibrium between the expected price and the original price of a commodity with the help of local functions and expansion operators of a bitopological space. These methods are based on choice of a consumer. Examples are provided to show that price of a commodity cannot exceed the interval of expected price. Moreover, we try to provide possible answers to the problem of “Control of Economic Variable” of Morgenstern [O. Morgenstern, Thirteen critical points in contemporary economic theory: An interpretation, Journal of Economic Literature 10(4) 1972 1163–1189] by determining least upper bounds.

Introduction to Neutrosophic Soft Bitopological Spaces

2021 ◽  
Author(s):  
Hasan Dadas ◽  
◽  
Sibel Demiralp ◽  
Keyword(s):  
Bitopological Space ◽  
Closed Set ◽  
Soft Topology ◽  
The Subject ◽  
Bitopological Spaces

In this study, the concept of neutrosophic soft bitopological space is defined and it is one of the few studies that have dealt with this concept. In addition, pairwise neutrosophic soft open (closed) set on neutrosophic soft bitopological spaces are studied. Supra neutrosophic soft topology is defined by pairwise neutrosophic soft open sets. Important theorems related to the subject supported with many examples for a better understanding of the subject are given.

scholarly journals Some results on almost b-continuous functions in a bitopological space

2017 ◽  
Vol 37 (2) ◽  
pp. 167-177
Author(s):  
Diganta Jyoti Sarma ◽  
Santanu Acharjee
Keyword(s):  
Continuous Functions ◽  
Bitopological Space

The aim of this paper is to investigate some properties of almost bcontinuous function in a bitopological space. Relationships with some other types of functions are also investigated.

scholarly journals Characterizations of Quasi-Metrizable Bitopological Spaces

1988 ◽  
Vol 44 (2) ◽  
pp. 271-274 ◽  
Author(s):  
T. G. Raghavan ◽  
I. L. Reilly
Keyword(s):  
Bitopological Space ◽  
Bitopological Spaces

AbstractIn this paper we prove that a pairwise Hausdorff bitopological space is quasi-metrizable if and only if for each point x ∈ X and for i, j = 1,2, i ≠ j, one can assign nbd bases { S(n, i; x) | n = 1, 2,… } such that (i) y ∉ S (n − 1, i; x) imples S(n, i; x) ∩ S (n, j; y) = φ, (ii) y ∈ S (n, i; x) implies S (n, i; y) ⊂ S(n − 1, i; x). We derive two further results from this.

New forms of separation spaces in bitopology

2016 ◽  
Vol 7 (3) ◽  
pp. 145
Author(s):  
N. Durga Devia ◽  
Raja Rajeswari ◽  
P. Thangavelu
Keyword(s):  
Continuous Function ◽  
Bitopological Space ◽  
Closed Set ◽  
Open Set ◽  
New Type

The aim of this paper is to study how distinct points and a point and a closed set not containing that points are separated by non overlapping open neighborhoods, in a bitopological space. The separation is studied with respect to a new type of \((1,2)\alpha\)-open set together with a continuous function. We named the new axioms as star-ultra \(T_{1}\), star-ultra \(T_{2}\), star-ultra regular and normal. The star-ultra regular spaces is studied in two different ways and are called as A-star-ultra regular and B-star-ultra regular spaces.

On pairwise \(\mathcal{N}\)-\(\beta\)-open sets in bitopological spaces

2016 ◽  
Vol 7 (3) ◽  
pp. 152
Author(s):  
Fahad Alsharari ◽  
Abdo Qahis
Keyword(s):  
Continuous Function ◽  
Open Cover ◽  
Bitopological Space ◽  
Open Set ◽  
Bitopological Spaces

In this paper, we introduce the notion of an \((i,j)\)-\(\mathcal{N}\)-\(\beta\)-open set which is a generalization of an \((i,j)\)-\(\beta\)-open set in a bitopological space. Also, we investigate some of its properties and characterizations. Besides, we prove that a pairwise \((i, j)\)-\(\mathcal{N}\)-\(\beta\)-open cover that has a finite (countable) subcover is equivalent to a pairwise \(\beta\)-compact (\(\beta\)-Lindel\"{ö}f) space. Finally, we introduce an \((i, j)\)-\(\mathcal{N}\)-\(\beta\)-continuous function and an \((i, j)\)-\(\mathcal{N}\)-\(\beta\)-irresolute function and obtain some of their properties.

On regular \beta^-generalized closed set in bitopological space

2016 ◽  
Vol 10 ◽  
pp. 585-591
Author(s):  
Nitin Bhardwaj ◽  
R. S. Verma ◽  
B. P. Garg
Keyword(s):  
Bitopological Space ◽  
Closed Set

scholarly journals Projective bitopological spaces

1972 ◽  
Vol 13 (3) ◽  
pp. 327-334 ◽  
Author(s):  
M. C. Datta
Keyword(s):  
Projective Spaces ◽  
Topological Spaces ◽  
Bitopological Space ◽  
Extremally Disconnected ◽  
Bitopological Spaces

J. C. Kelly [2] introduced the concept of a bitopological space. Lane [3], Patty [4] and Pervin [5] have continued his work. Our purpose in this paper is to identify the projective objects in a suitable category of bitopological spaces after the manner of Gleason [1] and generalize his theorem that in the category of compact Hausdoriff topological spaces, the projective spaces are precisely the extremally disconnected ones.

scholarly journals Classifications of Pairwise Fuzzy Volterra Spaces

2019 ◽  
Vol 9 (1S5) ◽  
pp. 199-202
Keyword(s):  
The Other ◽  
Bitopological Space ◽  
Dense Sets ◽  
Definition Of ◽  
Residual Sets ◽  
Bitopological Spaces

The main focus of this paper is to introduce the new types of pairwise fuzzy Volterra spaces such as by introducing pairwise fuzzy residual sets in the place of pairwise fuzzy Gδ -sets in the definition of pairwise fuzzy Volterra space, a new kind of fuzzy bitopological space namely, pairwise fuzzy εr -Volterra spaces has been introduced and studied and also by introducing pairwise fuzzy pre-open sets in the place of pairwise fuzzy dense sets in the definition of pairwise fuzzy Volterra space, another kind of fuzzy bitopological space namely, pairwise fuzzy εr - Volterra spaces has been introduced and studied. Some of their characterizations and relationships with the other fuzzy bitopological spaces have been investigated and studied.

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