Question: Were Anadoluhisarı and Gül Mosque in Istanbul both constructed by the Ottomans?

Context paragraphs:
Ayakapı: Ayakapı (Turkish: ""The Gate of the Saint", "The holy gate"" ) (the toponym comes from the Turkish word "Aya", derived from pronunciation of the Greek word ἁγἰα, mean.  "female Saint" and the Turkish word "kapı", mean.  "gate") is a quarter of Istanbul, Turkey.  It is part of the district of Fatih, inside the walled city, and lies on the shore of the Golden Horn.  During the Byzantine era, it was named ta Dexiokratiana or ta Dexiokratous in Greek, after the houses owned here by a certain Dexiokrates.  Its modern name comes from a church dedicated to Saint Theodosia which, according to Petrus Gillius, stood near the gate.  In Ayakapı lies one of the most important surviving Byzantine buildings of the historical peninsula, the Gül Mosque.  Moreover, in 1582 the Ottoman architect Sinan built here a Turkish bath, the Ayakapı Hamamı.  This structure is currently used as a storage for timber.

Sultan Ahmed Mosque: The Sultan Ahmed Mosque or Sultan Ahmet Mosque (Turkish: "Sultan Ahmet Camii" ) is a historic mosque located in Istanbul, Turkey.  A popular tourist site, the Sultan Ahmed Mosque continues to function as a mosque today; men still kneel in prayer on the mosque's lush red carpet after the call to prayer.  The Blue Mosque, as it is popularly known, was constructed between 1609 and 1616 during the rule of Ahmed I.  Its Külliye contains Ahmed's tomb, a madrasah and a hospice.  Hand-painted blue tiles adorn the mosque’s interior walls, and at night the mosque is bathed in blue as lights frame the mosque’s five main domes, six minarets and eight secondary domes.  It sits next to the Hagia Sophia, another popular tourist site.

Kasım Agha Mosque: Kasım Ağa Mosque (Turkish: "Kasım Ağa Mescidi" ; also "Kâsım Bey Mescidi", where "mescit" is the Turkish word for a small mosque) is a former Byzantine building converted into a mosque by the Ottomans in Istanbul, Turkey.  Neither surveying during the last restoration nor medieval sources have made it possible to find a satisfactory answer as to its origin and possible dedication.  It is probable that the small building was part of the Byzantine complex and monastery whose main church was the building known in Ottoman era as the Odalar Mosque, whose dedication is also uncertain.  The edifice is a minor example of Byzantine architecture in Constantinople.

Anadoluhisarı: Anadoluhisarı (English: Anatolian Castle ), which is historically known as Güzelce Hisar (meaning "the Proper Castle") is a fortress located in Istanbul, Turkey on the Anatolian (Asian) side of the Bosporus, which also gives its name to the quarter around it in the Beykoz district.  It was built between 1393 and 1394 by the Ottoman sultan Bayezid I "The Thunderbolt" as part of his preparations for the Second Ottoman Siege of Constantinople, which took place in 1395.  Sultan Bayezid built it on the ruins of a temple of Uranus Originally named Güzelcehisar (Turkish: "Beauteous Castle" )

Al-Bakiriyya Mosque: Bakiriyya Dom is a mosque constructed in Sana'a around 1596–97 by the Ottoman governor of Yemen, Hasan Pasha.  The mosque fell into disrepair after the Ottomans were driving out of Yemen in 1626 but was fully restored when the Ottomans recaptured Sana'a in 1878.

Gül Mosque: Gül Mosque (Turkish: "Gül Camii" , meaning: "The Mosque of the Rose" in English) is a former Eastern Orthodox church in Istanbul, Turkey, converted into a mosque by the Ottomans.

Haji Alakbar Mosque: Haji Alakbar Mosque (Azerbaijani: "Hacı Ələkbər məscidi" ) is an Azerbaijani mosque located in Fizuli, Karabakh region of Azerbaijan southwest of capital Baku but is currently under control of Armenian forces since the occupation of Fizuli in 1993.  The mosque is also spelt as Haji Alekber Mosque.  The region of Fizuli came into existence as administrative unit in 1827.  The Haji Alakbar mosque was constructed in 1890 by renowned architect of the time Karbalayi Safikhan Karabakhi who also built Yukhari Govhar Agha Mosque and Ashaghi Govhar Agha Mosque in Shusha, Agdam Mosque in Agdam, mosques in Horadiz and Qocahmadli villages, Tatar mosque in Odessa, Ukraine and Qababaghlilar Mosque in Ashgabat, Turkmenistan.  This monument of Islamic architecture is among 300 religious monuments of Karabakh and is famous for its structure along with Qiyas ad Din Mosque, also located in Fizuli.  The current condition of the mosque is unknown due to ongoing occupation of Fizuli by Armenian armed forces.  It is suspected that the mosques were destroyed by Armenians after 1993.

Yıldız Hamidiye Mosque: The Yıldız Hamidiye Mosque (Turkish: "Yıldız Hamidiye Camii" ), also called the Yıldız Mosque (Turkish: "Yıldız Camii" ), is an Ottoman imperial mosque located in Yıldız neighbourhood of Beşiktaş district in Istanbul, Turkey, on the way to Yıldız Palace.  The mosque was commissioned by the Ottoman sultan Abdul Hamid II, and constructed between 1884 and 1886.  The mosque was built on a rectangular plan and has one minaret.  The architecture of the mosque is a combination of Neo-Gothic style and classical Ottoman motifs.  A bronze colonnade erected by Abdul Hamid II in Marjeh Square of Damascus, Syria bears a replica statue of the Yıldız Mosque on top.

Odalar Mosque: The Odalar Mosque (Turkish: "Odalar Câmîi" , meaning "the mosque of the barracks" after the nearby accommodations of the married Jannisaries established in this quarter in the 18th century.  Also: "Kemankeş Mustafa Paşa Câmîi") was an Ottoman mosque in Istanbul.  The building was originally a Byzantine-era Eastern Orthodox church of unknown dedication.  In 1475, after the Fall of Constantinople (1453), it became a Roman Catholic church, dedicated to Saint Mary of Constantinople, until finally it was converted into a mosque by the Ottomans in 1640.  The mosque was destroyed by fire in 1919, and since then has fallen into ruin.  As of 2011, only some walls remain, hidden among modern buildings.

Kubelie Mosque: Kubelie Mosque is a mosque in Kavajë, Albania.  A mosque was originally built here under the Ottomans by Kapllan Beu, the Kapllan Pasha Mosque or "Bachelors' Mosque".  The Old Mosque (Xhamija e Vjetër), stood on the main street of the city, about 70m to the east of the current one.  Kubelie mosque is described as a "grand, beautiful building, with a dome and a peristyle.  Marble facades rise under the cypress trees with their Byzantine columns and their Arabian arches."

Supporting paragraphs: Anadoluhisarı Gül Mosque
Answer: no