Turkey has begun flexing its muscles in the region in the wake of Israel's refusal to apologise for the killing of nine Turks last year aboard an aid ship intercepted before it could reach the Palestinian enclave of Gaza.
At a news conference before leaving on a visit to the United States, Erdogan repeated Turkey's opposition to exclusive economic zones agreed by Cyprus and Israel last year.
"We have different approaches to the exclusive economic region that they announced," he said. On this matter, with regard to the military, we will monitor this region with air force, frigates and torpedo boats."
Erdogan said that, in agreement with the Turkish Cypriots, exploration could start off northern Cyprus this week.
"In a very short time, possibly this week, it may happen in this exclusive economic region, we will start," he said.
Yildiz said seismic survey vessels belonging to the Turkish oil exploration company TPAO could be given naval escorts.
"Oil exploration platforms would follow, but we don't want it to come to that," he said.
In Nicosia, Cyprus's deputy government spokesman, Christos Christofides, said Turkey's "intransigence" was "preventing a fair and viable solution to the Cyprus problem, while evidently it also expects it can hold hostage the sovereign rights of the Republic of Cyprus, even in its free areas".
BLOW TO REUNIFICATION TALKS
Turkish Foreign Minister Ahmet Davutoglu on Sunday decried Cyprus's creation of an exclusive economic zone before reaching a settlement on the reunification of the island.
"We want the Eastern Mediterranean to be a basin of peace, stability and welfare. But if some say 'This is my back garden, I will behave as I wish', then we gain the right to take steps to show that this is not right," he told CNN Turk television.
"One would wish that the Greek Cypriot administration would come to the negotiating table and that we should develop a just peace together instead of making such a challenge."
The dispute could make investors put plans for the Eastern Mediterranean on hold, but Turkey might pay a price in relations with its biggest trading partner, the European Union, Istanbul-based security analyst Gareth Jenkins said.
"The EU has no choice but to fall behind Cyprus. Cyprus has done all it has to do under law," Jenkins said, noting that Cyprus is a signatory to the U.N. Convention on the Law of the Sea and has signed an exclusive economic zone agreement.
Turkey has warned the European Union that it will break off relations with the EU presidency should Cyprus take over the rotating role in the second half of next year.
Cyprus has also stalled Turkey's EU membership negotiations and has warned that it will block Turkey's entry talks if Ankara continues to oppose its exploration plans.
Hugh Pope of the Brussels-based International Crisis Group said the dispute was "another nail in the coffin" for a settlement of the Cyprus dispute.
The United Nations has appealed for a peaceful resolution, saying both sides should benefit from any energy reserves that are found, in the context of a future settlement on the island.