The Nikkei 225 was up 1.2 percent to 11,066. This compares to losses of 7.1 percent since last Monday. The Topix index was up by 1.55 percent, to 1,127.

This rebound in the Tokyo markets was good news, but gains were relatively small compared to last weeks losses because worries remain about the current tensions between Japan and China as well as about economic growth in the United States.

Stocks in most sectors were generally higher, including airline stocks. The airlines had earlier taken serious hits amid a large number of cancelled business and holiday flights to China over fears for Japanese citizens safety there after recent anti-Japanese demonstrations.

Japan Airlines rose ¥7 to ¥338, and air transport shares generally rose by an average of 2 percent.

The news on Monday of a 12 percent rise in quarterly profits from Texas Instruments sent Japanese technology stocks higher. Information and communication stocks rose by an average of 0.9 percent.