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δ-local function and its properties in ideal topological spaces

100%

Hatir E. , Al-Omari A. , Jafari S.

Fasciculi Mathematici

2014

tom Nr 53

53--64

In this paper, we investigated δ-local function and its properties in ideal topological space. Moreover, the relationships other local functions such as local function [1, 3] and semi-local function [2] are investigated.

α-local function and its properties in ideal topological spaces

100%

Al-Omeri W. F. , Noorani M. S. M. , Al-Omar A.

Fasciculi Mathematici

2014

tom Nr 53

5--15

In this paper, we introduce the notation of a-local function and study its properties in ideal topological space. We construct a topology тa* for X by using a-open set and an Ʈ on X. We defined a-compatible of т with ideal and show that т is a-compatible with Ʈ then тa* - β(Ʈ, т), where β(Ʈ, т) - {V-I : V € тa (x), I € Ʈ} is a basis of тa* Also, The relationships other local functions such as local function [12, 6] and semi-local function [7] are introduced.

On almost e-I-continuous functions

75%

AL-Omeri W. , Noiri T.

Demonstratio Mathematica

2021

tom Vol. 54, nr 1

168--177

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.

Some generalizations of nearly I-continuous multifunctions in bitopological spaces

75%

Noiri T. , Popa V.

Fasciculi Mathematici

2024

tom nr 67

65--79

Let (X, τ1, τ2, I) be an ideal bitopological space. Recently, many generalizations of open sets in (X, τ1, τ2, I) are introduced and investigated. By using these sets, we introduce a unified form of several generalizations of nearly continuous multifunctions on ideal bitopological spaces.

On e-I-open sets, e-I-continuous functions and decomposition of continuity

51%

Al-Omeri W. , Noorani M. S. M. , Al-Omari A.

Journal of Mathematics and Applications

2015

tom Vol. 38

15--31

In this paper, we introduce the notations of e-I-open sets and strong B*I -set to obtain a decomposition of continuing via idealization. Additionally, we investigate properties of e-I-open sets and strong B*I -set. Also we studied some more properties of e-I-open sets and obtained several characterizations of e-I-continuous functions and investigate their relationship with other types of functions.