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1

Regularity and normality in hereditary bi m-spaces

Al-Omari Ahmad, Al Ghour Samer, Noiri Takashi

Demonstratio Mathematica

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2022

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Vol. 55, nr 1

226--237

EN

Quite recently, a new minimal structure m⋆H and an mn - Hg -closed set have been introduced in a previous study [T. Noiri and V. Popa, Closed sets in hereditary bi m-spaces, Questions Answers General Topol. 38 (2020), 133–142] by using two minimal structures m, n and a hereditary class H . In this paper, we introduce and investigate the notions of (m,n) - H⋆g -regularity and (m,n) - H⋆g -normality in a hereditary bi m-space (X,m,n,H) .

2

Some form of open sets and continuity in ideal bitopological spaces

Noiri Takashi, Popa Valeriu

Fasciculi Mathematici

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2021

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nr 65

57--66

EN

We introduce the notion of (i, j)-mI-open sets as a unified form of (i, j)-α-I-open sets [4], (i, j)-semi-I-open sets [3], (i, j)-pre-I-open sets [1], (i, j)-bI-open sets [17] and (i, j)-β-I-open sets [2]. We show that properties of (i, j)-mI-open sets follow from the properties of minimal open sets in [14]. We introduce and investigate an (i, j)-mI-continuous function from an ideal bitopological space (X, τ1, τ2, I) to a bitopological space (Y, σ1, σ2).

3

On almost e-I-continuous functions

AL-Omeri Wadei, Noiri Takashi

Demonstratio Mathematica

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2021

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Vol. 54, nr 1

168--177

EN

This work is concerned with a new class of functions called almost e-I-continuous functions containing the class of almost e-continuous functions. This notion is stronger than almost δβI-continuous functions and is weaker than both almost e-continuous functions and e-I-continuous functions. Relationships between this new class and other classes of functions are investigated and some characterizations of this new class of functions are studied.

4

On pδs-irresolute functions

Beceren Yusuf, Noiri Takashi

Fasciculi Mathematici

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2019

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nr 62

5--12

EN

The object of the present paper is to define and investigate the concepts of pδs-irresolute functions in topological spaces. And we obtain some characterizations and fundamental properties of such functions.