On weakly BR-open functions and their characterizations in topological spaces

Caldas, Miguel; Ekici, Erdal; Jafari, Saeid; Latif, Raja Mohammad

doi:10.1515/dema-2013-0290

Cited by 4 publications

(3 citation statements)

References 9 publications

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“…Since then, many mathematicians turned their attention to the generalization of various concepts in General Topology by considering α-open sets [3][4][5][6][7][8][9][10] and generalized closed sets [11][12][13]. In 1982 Dunham [14] used the generalized closed sets to define a new closure operator, and thus a new topology τ*, on the space, and examined some of the properties of this new topology.…”

Section: Sciencedirectmentioning

confidence: 99%

Some applications of Dα-closed sets in topological spaces

Sayed

Khalil

2016

Egyptian Journal of Basic and Applied Sciences

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Available online A B S T R A C T In this paper, a new kind of sets called Dα-open sets are introduced and studied in a topological spaces. The class of all Dα-open sets is strictly between the class of all α-open sets and g-open sets. Also, as applications we introduce and study Dα-continuous, Dα-open, and Dα-closed functions between topological spaces. Finally, some properties of Dα-closed and strongly Dα-closed graphs are investigated. © 2015 Production and hosting by Elsevier B.V. on behalf of Mansoura University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

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Section: Sciencedirectmentioning

confidence: 99%

Some applications of Dα-closed sets in topological spaces

Sayed

Khalil

2016

Egyptian Journal of Basic and Applied Sciences

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“…E x a m p l e 2.5. The concept of weak BR-closedness as a natural dual to weak BR-continuity due to Ekici [8] was introduced and studied in [1]. Definition 2.6.…”

Section: Weakly (µ λ)-Closed Functionmentioning

confidence: 99%

A note on weakly $(\mu ,\lambda )$-closed functions

Roy¹

2013

Math. Bohem.

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“…Rose [23] introduced weakly open functions, which is a more general concept than the open functions and obtained some results regarding this concept. In recent years, many authors have studied on generalizations of weakly open functions such as weakly preopen functions [6], weakly semiopen functions [7], weakly b-open functions [20], weakly b-θ-open functions [19] (weakly BR-open functions [8]), weakly eR-open functions [21] and weakly e * -open functions [22].…”

Section: Introductionmentioning

confidence: 99%

On Weakly e*-θ-open Functions and Their Characterizations

Ayhan

2022

Turkish Journal of Mathematics and Computer Science

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The main aim of this paper is to introduce and study a new class of weakly open functions called weakly e*-θ-open functions via e*-θ-open sets [13], which is a stronger concept than weakly e*-open functions [22]. Moreover, we obtain various characterizations of weakly e*-θ-open functions and investigate some of their fundamental properties. In additon, we investigate not only the relationships of these functions with some othertypes of existing topological functions, but also several basic results related to connectedness, e*θ-connectedness [5] and hyperconnectedness [18].

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On weakly BR-open functions and their characterizations in topological spaces

Abstract: In this paper, we introduce and study a new class of functions by using the notions of b-

Cited by 4 publications

References 9 publications

Some applications of Dα-closed sets in topological spaces

Some applications of Dα-closed sets in topological spaces

A note on weakly $(\mu ,\lambda )$-closed functions

On Weakly e*-θ-open Functions and Their Characterizations

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