A new classes of open mappings

M. Lellis Thivagara  and M. Anbuchelvib,*

A new classes of open mappings

Authors :

M. Lellis Thivagar^a and M. Anbuchelvi^b,*

Author Address :

^aSchool of Mathematics, Madurai Kamaraj University, Madurai-625021, Tamil Nadu, India.
^bDepartment of Mathematics, V.V. Vannniaperumal College for Women, Virudhunagar-626001, Tamil Nadu, India.

*Corresponding author.

Abstract :

The aim of this paper is to introduce new classes of mappings namely ${\hat\Omega}$-open mappings, somewhat ${\hat\Omega}$ open functions and hardly ${\hat\Omega}$-open mappings by utilizing ${\hat\Omega}$-closed sets. Also investigate some of their properties.

Keywords :

${\hat\Omega}$-closed sets, ${\hat\Omega}$ dense sets, ${\hat\Omega}$-open mappings, somewhat ${\hat\Omega}$ open mappings, hardly ${\hat\Omega}$-open mappings.

DOI :

Article Info :

Received : November 30, 2012; Accepted : March 07, 2013.