On almost and weakly ip-continuous functions in topological spaces

Laila S. Abdullah* And Diyar M. Mohammed**

Dept. of Mathematics, / Faculty of Science and Science Education/ School of science, University of Sulaimani, Kurdistan Region-Iraq– Email: laylamath33@yahoo.com

** Dept. of Mathematics, Faculty of Physical and Basic Education/ School of Basic Education, University of Sulaimani, Kurdistan Region-Iraq – 

Email: diyar.mohamed@univsul.edu.iq

Original: 18.08.2015; Revised: 31.12.2015; Accepted: 30.01.2015; Published online: 20.06.2016

DOI Link: 

ABSTRACT

In this paper, we introduce two new classes of continuous functions in topological spaces called almost Ip-continuous and weakly Ip-continuous functions. We obtain several characterizations of them and some of their properties. Also, we investigate their relationships with some other types of functions.

KEYWORDS

Preopen set, Ip-open set, Ip-continuous function,

Almost Ip-continuous function,

Weakly Ip-continuous function.

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