2005
DOI: 10.1007/s10474-005-0207-x
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Strongly precontinuous functions

Abstract: We introduce a new class of functions called strongly precontinuous functions in topological spaces. Some properties and several characterizations of this type of functions are obtained. We investigate the relationships between this class of functions and other classes of non-continuous functions.

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Cited by 11 publications
(4 citation statements)
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“…(d) strongly θ-precontinuous (briefly, st.θ.p.c.) [17] if for all x ∈ X and all open set V of Y containing f (x), there exists U ∈ P O(X, x) such that f [pcl(U )] ⊆ V . (e) strongly θ-b-continuous (briefly, st.θ.b.c.)…”
Section: Preliminariesmentioning
confidence: 99%
See 1 more Smart Citation
“…(d) strongly θ-precontinuous (briefly, st.θ.p.c.) [17] if for all x ∈ X and all open set V of Y containing f (x), there exists U ∈ P O(X, x) such that f [pcl(U )] ⊆ V . (e) strongly θ-b-continuous (briefly, st.θ.b.c.)…”
Section: Preliminariesmentioning
confidence: 99%
“…In recent years, many authors have studied on generalizations of strong continuity such as strongly θ-continuous functions [16], strongly θ-precontinuous functions [17], strongly θ-semi continuous functions [12], strongly θ-b-continuous functions [24], strongly θ-e-continuous functions [18]. On the other hand, many researchers have introduced and investigated some properties of the weakly clopen functions [25] and weakly e-continuous functions [19].…”
Section: Introductionmentioning
confidence: 99%
“…A function f : (X, τ ) → (Y, σ) is said to be s-continuous [9] or strongly semi-continuous [3](resp. strongly α-continuous [7], irresolute [12], semi-preirresolute [21], almost-irresolute [8]…”
Section: Preliminariesmentioning
confidence: 99%
“…Many different forms of continuous functions have been introduced over the years. Some of them are preirresoluteness [15], a-precontinuity [3], a-irresoluteness [8], 7-irresoluteness, irresoluteness [4] and semi a-irresoluteness [2].…”
Section: Introductionmentioning
confidence: 99%