Boss happy with a point in the absence of his main strikers.
The Cottagers clashed with David Moyes' men at Craven Cottage in a game that saw the visitors play possession football, but the scoreline remained goalless as the referee brought the curtain down on the proceedings.
But during the course of the game, the visitors - looking for their first Premier League victory - came close to breaking the deadlock on more than one occasion, as midfielder Mikel Arteta forced the Australian shot-stopper into making a superb save from a 30-yard effort.
The 'keeper also produced an exceptional save as he came off his line to deny Yakubu a goal during the dying moments of the game.
Hughes told reporters: "We were indebted to Mark [Schwarzer]. He made an excellent save towards the end that allowed us to take a point from today.
"We've gone up against a good team today and we've come away with something. "
The home side also had to endure a difficult time concerning attacking options, as Zoltan Gera was deployed up front in the absence of Bobby Zamora and Moussa Dembele, with Andy Johnson still some way from reaching full fitness.
Hughes added: "We've missed the threat of Bobby Zamora and Moussa Dembele today, all in all we'll take the positives which are a clean sheet and [remaining] unbeaten."
The goalless draw prolongs Fulham's unbeaten run in the Premier League as Everton slipped to the bottom of the table, and the Cottagers boss believes that it is only a matter of time before the Toffees' lackluster run comes to an end.
"I think that's a false position, they are a good team, and they've played well in the games I've see," added the Welshman.
"They just need a win to get them going and they'll be fine."
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