I got a solution for my question.
When Edit Permission button hit following URL will be passed to SharePoint
http://xyz:1010/sites/raja/_layouts/editprms.aspx?obj=editprms.aspx?obj=http%3a%2f%2fxyz%3a1010%2fsites%2fraja%2cWEB&sel=1&IsDlg=1
In SharePoint there is one hidden list is called SiteUserInfoList which contain the details about the users and groups have access to the current site.
From this list we can obtain the users information.

You can get the list ID from the given URL sel=1 is the list ID which is selected user information item id in the SiteUserInfoList.
So using below javascript code you may get the user profile information.
function GetUserProfileInfo() {
var _usrInputID = "5";
var ctx = new SP.ClientContext.get_current();
var list = ctx.get_web().get_siteUserInfoList();
var query = new SP.CamlQuery();
query.set_viewXml('<View><Query><Where><Eq><FieldRef Name="ID" /><Value Type="Counter">'+_usrInputID+'</Value></Eq></Where></Query></View>');
items = list.getItems(query);
ctx.load(items);
ctx.load(items, 'Include(ContentType)');
ctx.executeQueryAsync(onSuccess, onFailure);
/* Success callback */
function onSuccess() {
var listEnumerator = items.getEnumerator();
while (listEnumerator.moveNext()) {
var currentItem = listEnumerator.get_current();
var contentType = currentItem.get_contentType();
var contentTypeName = contentType.get_name();
if(contentTypeName == 'Person')
{
alert("User Name : "+ currentItem.get_item('Title') + "\nEmail" + currentItem.get_item('EMail'));
}
else if(contentTypeName == 'SharePointGroup')
{
alert("Group Name : "+ currentItem.get_item('Title') + "\nGroup ID : " + currentItem.get_item('ID'));
}
}
}
/* Failure callback */
function onFailure() {
alert('Error: ' + args.get_message() + '\n' + args.get_stackTrace());
}
}
See below coding to extract the sel id from url.
function Get_usrInputID()
{
var cHrefURL = unescape(window.location.href);
var res = '';
if(cHrefURL.indexOf('IsDlg') > cHrefURL.indexOf('sel='))
{
res = cHrefURL.substring(cHrefURL.indexOf('sel=')+4,cHrefURL.indexOf('IsDlg'));
}
else
{
res = cHrefURL.substring(cHrefURL.indexOf('sel=')+4);
}
res = ReplaceAll(res,'&','')
res = ReplaceAll(res,'&','')
var arrayOfStrings = res.split(',');
return arrayOfStrings;
}
function ReplaceAll(str, find, replace) {
return str.replace(new RegExp(find, 'g'), replace);
}