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1
Content available 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
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2015
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Vol. 38
15--31
EN
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.
2
Content available remote α-local function and its properties in ideal topological spaces
Al-Omeri W. F., Noorani M.S.M., Al-Omar A.
Fasciculi Mathematici
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2014
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Nr 53
5--15
EN
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.
3
Content available remote Slightly (μ,λ) - continuous functions
Aljarrah H H, Noorani M.S.M., Noiri T.
Fasciculi Mathematici
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2014
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Nr 52
5--13
EN
We introduce a new notion called slightly (μ,λ)-continuous functions on generalized topological spaces. Furthermore, basic properties and preservation theorems of slightly (μ,λ)-continuous functions are investigated and relationships between slightly (μ,λ)-continuous functions and graphs are investigated.
4
Content available remote Slightly ω-continuos functions
Noiri T., Al-Omari A., Noorani M.S.M.
Fasciculi Mathematici
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2009
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Nr 41
97-106
EN
A new weak form of both slightly continuous and ω-continuous, called slightly ω-continuous, is introduced and studied. Furthermore, basic properties and preservation theorems of slightly ω-continuous functions are investigated. Relationships between slightly ω-continuous functions and set ω-connected functions are investigated.
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