Japan's Nikkei stock index dipped 0.1 percent, while Australian shares added 0.2 percent.
Japan's Nikkei 225 slid 0.12 percent as gains in oil stocks was offset by softness in most automakers and technology names. Across the Korean strait, the Kospi was off 0.07 percent in early trade.
Japan's Nikkei 225 fell 1.31 percent as risk off trade from the US session followed through into the Asian trading day.
Japan's Nikkei slipped 0.1 percent, weighed down by the yen's strength.
Japan's Nikkei 225 edged down 0.03 percent, with gains in most tech stocks offset by losses in auto names. South Korea's Kospi rose 0.67 percent as markets returned from a public holiday.
Japan's Nikkei 225 rose 1.34 percent as the greenback strengthened against the yen, after the index finished lower by close to 1 percent in the previous session.
South Korea's Kospi rose 0.56 percent after being pressured by geopolitical tensions for most of the last week.
South Korea's Kospi fell 1.3 percent in early trade, taking its losses this week to 2.8 percent.
Japan's Nikkei rose 0.2 percent and Australian shares gained 0.1 percent. South Korea's KOSPI was little changed.
South Korean shares were down 0.9 percent and the won was 0.6 percent lower at 1,134.10 at 0048 gmt.
South Korea's market rose 0.4 percent while in Japan, the broad TOPIX held near its highest in two years and the Nikkei was flat.
Japan's Nikkei dropped 0.4 percent on a stronger yen, and looked set to end the week little changed.
MSCI's broadest index of Asia-Pacific shares outside Japan dropped 0.5 percent, with South Korea's Kospi index falling 1.5 percent in early trade.
Japan's Nikkei rose 0.5 percent. Apple suppliers soared, with Murata Manufacturing up 3.2 percent and Taiyo Yuden gaining 3.3 percent.
MSCI's broadest index of Asia-Pacific shares outside Japan was up 0.1 percent, while Tokyo's Nikkei rose 0.4 percent.
In Australia, the benchmark S&P/ASX 200 index was higher by 0.26 percent, driven by strong showings in its materials sub-index, which was up 1.57 percent.
MSCI's broadest index of Asia-Pacific shares outside Japan fell 0.4 percent in early trade, with Samsung Electric , Asia's largest company by market capitalisation, dropping 2.0 percent.
South Korea added 0.6 percent and Australia 0.2 percent, while Japan's Nikkei was kept flat by a firmer yen.
Presently, the Asian marketing region is contributing around 23-24 per cent of the total global sales. In 2016, Canon Inc had reported net sales of USD 29.32 billion.
Japan's Nikkei added 0.8 percent after the dollar extended an overnight rally against the yen to pull away from seven-week lows.
Japan's Nikkei rose 0.3 percent and Australian stocks jumped 0.35 percent, making up some of Monday's 0.6 percent slide.
Japan's benchmark Nikkei 225 fell 0.86 percent to 19,926.49, while the Topix index was down 0.93 percent at 1,614.96. Across the Korean strait, the Kospi was down 0.15 percent.
MSCI's broadest index of Asia-Pacific shares outside Japan , which has gained about 5 percent in the past two weeks, eased 0.1 percent as regional markets opened.
Japan's Nikkei gained 0.1 percent. Australian stocks rose 0.3 percent and South Korea's KOSPI advanced 0.15 percent.
Australia's main index climbed 0.7 percent, but the strength of the yen nudged Japan's Nikkei down 0.1 percent.