On almost and weakly i p -continuous functions in topological space.


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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