Laila S. Abdullah and Diyar M. Mohammed

Dept. of Mathematics, / Faculty of Science and Science Education/ School of science, University of Sulaimani, Kurdistan Region

Dept. of Mathematics, Faculty of Physical and Basic Education/ School of Basic Education, University of Sulaimani, Kurdistan

**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.

**Key Words:**

Preopen

set, Ip-open set, Ip-

continuous function,

Almost Ip-continuous

function, Weakly Ip-

continuous function.

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