Abstract
The following two decomposition theorems are obtained. (1) A function f is α-continuous if and only if f is pre-continuous and αα-continuous, (2) A function f is semi-continuous if and only if f is spr-continuous and αLC-continuous.
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Al-Nashef, B. A decomposition of α-continuity and semi-continuity. Acta Mathematica Hungarica 97, 115–120 (2002). https://doi.org/10.1023/A:1020863029703
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DOI: https://doi.org/10.1023/A:1020863029703