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2 Fasciculi Mathematici

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Weak and strong forms of γ-irresoluteness

Nasef A. A., El-Maghrabi A I

Fasciculi Mathematici

2013

Nr 50

91--100

In this paper we consider new weak and strong forms of y-irresoluteness and y-closure via the concept of gy-closed sets which we call ap-y-irresolute, ap-y-closed and contra-y-irresolute maps. Moreover, we use ap-y-irresolute and ap-y-closed maps to obtain a characterization of y — T1/2 -spaces.

On strongly generalized pre-continuous mappings

El-Maghrabi A I, Al-Subhi B, Jafari S.

Fasciculi Mathematici

2012

Nr 48

23--34

The aim of this paper is devoted to introduce and studya new class of generalized closed sets, namely strongly generalized preclosed sets which is weaker than both of preclosed sets and g* - closed sets (M.K. Kumar, 1999). Moreover, we investigate some properties such as strongly generalized precontinuous and strongly generalized preclosed maps via strongly generalized preclosedness.