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On almost e-I-continuous functions

AL-Omeri Wadei, Noiri Takashi

Demonstratio Mathematica

2021

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.

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

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

Journal of Mathematics and Applications

2015

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.

δ-local function and its properties in ideal topological spaces

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

Fasciculi Mathematici

2014

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

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

Fasciculi Mathematici

2014

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.