Weak Insertion of an α−Continuous Function
Mathematics Letters
Volume 2, Issue 3, June 2016, Pages: 25-27
Received: Aug. 23, 2016; Accepted: Oct. 12, 2016; Published: Oct. 19, 2016
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Majid Mirmiran, Department of Mathematics, University of Isfahan, Isfahan, Iran
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A sufficient condition in terms of lower cut sets are given for the weak α−insertion property and the weak insertion of an α−continuous function between two comparable real-valued functions. Also several insertion theorems are obtained as corollaries of this result.
Weak Insertion, Strong Binary Relation, Preopen Set, Semi-Open Set, α−Open Set, Lower Cut Set
To cite this article
Majid Mirmiran, Weak Insertion of an α−Continuous Function, Mathematics Letters. Vol. 2, No. 3, 2016, pp. 25-27. doi: 10.11648/j.ml.20160203.11
Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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