you can do it in two ways ,
1) You can call Logout button click event using javascript using.
<script type="text/javascript">
function check() {
if(window.closed)
{
document.getElementById("btnLogout").click();
}
}
}
</script>
where
btnLogout
is id of logout button
2) you can execute code for logout using pageMethod or Ajax method
<script type="text/javascript">
function check() {
if(window.closed)
{
$.ajax({
type: "POST",
url: "Default.aspx/Logout",
contentType: "application/json;charset=utf-8",
data: {},
dataType: "json",
success: function (data) {
alert("logout Successfully..!!");
},
error: function (result) {
alert("Error");
}
});
}
}
</script>
c#
[WebMethod]
public static void Logout()
{
}