Now I’m trying to do as follows:
var source = [
{html: "<img src='../../images/settings.png'/><span style='position: relative; left: 3px; top: -2px;'>Settings</span>"},
{html: "<img src='../../images/favorites.png'/><span style='position: relative; left: 3px; top: -2px;'>Favorites</span>"},
...
];
$("#jqxMenu").jqxMenu({ source: source, width: '120px', height: '140px', autoOpenPopup: false, mode: 'popup'});
$("#jqxMenu").jqxMenu('setItemOpenDirection', 'left', 'up');
But it does not help in solving the problem.