TOKYO (AP) — South Koreans cheered, Iran warned that President Donald Trump should not be trusted and China said it may be time to discuss lifting sanctions on North Korea as Trump and North Korean leader Kim Jong Un held an unprecedented summit Tuesday in Singapore.

Around Asia and the world, many have welcomed the flurry of diplomacy in recent months between the two adversaries, after a year of mounting tension, threats and name-calling. Hopes for peace on the long-divided Korean Peninsula, however, remain tempered by the many failed attempts in the past.

"The United States and North Korea have been in a state of antagonism for more than half a century," Chinese Foreign Minister Wang Yi said. "Today, that the two countries' highest leaders can sit together and have equal talks, has important and positive meaning, and is creating a new history."

Chinese Foreign Ministry spokesman Geng Shuang later said that U.N. sanctions against North Korea could be suspended or lifted in accordance with the North's actions. "We believe the Security Council should make efforts to support the diplomatic efforts at the present time," he said.

Trump said at a post-summit news conference that he has held off from imposing additional sanctions, but that the U.S. would remove sanctions that are in place when the North's nuclear weapons "are no longer a factor."

Iran, meanwhile, reminded Kim that Trump should not be trusted because he could nullify any nuclear deal with North Korea, just as he pulled out of the landmark 2015 nuclear deal with Tehran.

The semi-official Fars news agency quoted government spokesman Mohammad Bagher Nobakht as saying: "We are facing a man who revokes his signature while abroad."

South Korean President Moon Jae-in said he "could hardly sleep last night" in anticipation of the meeting and expressed hope for "complete denuclearization and peace."

Japanese Prime Minister Shinzo Abe welcomed Kim's written commitment to complete denuclearization in an agreement signed with Trump at the end of their meeting in Singapore.

New Malaysian Prime Minister Mahathir Mohamad, on a visit to Tokyo, said that "both sides must be prepared to give in certain issues if they expect to reach a good conclusion."

India's foreign ministry said in a statement that it hoped for complete implementation of the agreement signed in Singapore, "thus paving the way for lasting peace and stability in the Korean Peninsula."

At a train station in Seoul, the South Korean capital, people cheered and applauded as televisions screens broadcast the Trump-Kim handshake live.

"I really, really hope for a good outcome," said Yoon Ji, a professor at Sungshin University in Seoul. "I am hoping for denuclearization and a peace agreement and also for North Korea's economy to open up."

Some questioned whether Kim would fully relinquish the weapons he may see as his only guarantee of survival.

"I am still not sure whether the North is willing to denuclearize or not," said Jo Han-won. "We never knew much about the North Korean regime and it's hard to distinguish what's true and what's false."

China, which provided a Boeing 747 that flew Kim from Pyongyang to Singapore, wants to ensure its interests are preserved in any negotiations, namely that they don't result in a unified Korea that is pro-American.

Hu Xijin, the editor of influential Communist Party newspaper Global Times, said that he was "truly happy for this moment." He dismissed as cynical those Chinese internet users who asked if Beijing had been marginalized in these talks.

"I think these people really grew up in negative energy," he wrote on his Sina Weibo microblog.

Japan's largest newspaper, the Yomiuri, printed a one-page "extra" edition in both Japanese and English that was distributed for free in major cities 90 minutes after the meeting began.

Passers-by outside a Tokyo train station snapped up 500 copies in a flash, excited to have a souvenir of the historic event. They generally welcomed the meeting as a good first step but wondered if any progress would be made on the fate of Japanese abducted by North Korea in the 1970s and 1980s.

"My biggest concern is the abduction issue, then the nuclear and missile," said 70-year-old retiree Tomoaki Kenmotsu. "I have no idea how much the abduction issue is being taken up at the summit, but I hope it will be a good start for that issue too."

Abe thanked Trump for raising the issue with Kim and said that "Japan will deal firmly with North Korea face-to-face" to resolve it.

The hard work remains to come, said Momoko Shimada, a 20-year-old student: "After the handshake and political show will be the real action. I believe that won't be easy."

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Associated Press journalists Jung-yoon Kim in Seoul, South Korea; Mari Yamaguchi and Kaori Hitomi in Tokyo; Chris Bodeen and researcher Shanshan Wang in Beijing; Jon Gambrell in Dubai contributed to this report.

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