KIEV, Ukraine — The president-elect of Ukraine, Petro O. Poroshenko, vowed on Monday to restore order in the country’s east, which is besieged by pro-Russian separatist violence, but said he would not negotiate with armed rebels and instead would demand swifter results from a military campaign that has achieved only limited success.

While Mr. Poroshenko has said that he would push for parliamentary elections before the end of the year, on Monday he said he saw no reason for the removal of Prime Minister Arseniy P. Yatsenyuk and other leaders of the interim government, which has been running Ukraine since the toppling of President Viktor F. Yanukovych in February.

Mr. Poroshenko also promised to mend ties with the Kremlin, citing his business connections to Russia as well as his personal relationship with President Vladimir V. Putin, who has promised to respect the Ukrainian election results.

“Most probably the meeting with the Russian leadership will certainly take place in the first half of July,” Mr. Poroshenko said at a Kiev news conference. “We should be very ready tactically in approach to this meeting, because first we should create an agenda, we should prepare documents, so that it will not be just to shake hands.”