US stocks opened lower on Monday after a drop in Apple Inc's shares curbed the market's attempt to stage a bounce back from its worst week since March on worries over global growth and the China-U.S. trade war.

The Dow Jones Industrial Average fell 28.00 points, or 0.11 percent, at the open to 24,360.95.

The S&P 500 opened lower by 2.22 points, or 0.08 percent, at 2,630.86. The Nasdaq Composite dropped 9.62 points, or 0.14 percent, to 6,959.63 at the opening bell.