Melkites are the present day Catholics:

• Who are the Church of Antioch (See of Antioch with the Patriarchate of Antioch)
  "... and it was at Antioch that the disciples were first called Christians." (Acts 11:26)
• Who are in Ecclesiastical Communion with the Holy See of Rome
  Ecclesiastical Communion means that Melkites recognize the Holy See of Rome and that direct successor (the Patriarch of the West) of The Holy, Glorious and Illustrious Prince of the Apostles Peter "in the primacy". That direct successor, the Patriarch of the West, is the "first among equals". "Equals" are the other Patriarchs, one of which is The Patriarch of Antioch (See of Antioch). (The Patriarch of Antioch is also a direct successor of The Holy, Glorious and Illustrious Prince of the Apostles Peter, but he is not "in the primacy".)
  The title given to the Patriarch of the West (Holy See of Rome) as the direct successor of The Holy, Glorious and Illustrious Prince of the Apostles Peter "in the primacy" is "Pope". The current Patriarch of the West and Pope is His Holiness Ioannes Paulus II (John Paul II).

Melkites are a Catholic Church. The official name of the Melkite Church is The Melkite Greek Catholic (Grec Melkite Catholique). The Patriarch is The Patriarch of Antioch. The Patriarchate of Antioch has three Sees:

• See of Antioch, which is headquartered in Bab-Charqi-Damascus, Syria and Raboueh-Antelias, Lebanon
• See of Alexandria, which is headquartered in Cario, Egypt
• See of Jerusalem, which is headquartered in Jerusalem