Kerman Seljuk Sultanate
The Kerman Seljuk Sultanate( also known as Kerman sultanate Persian: سلجوقیان کرمان Saljūqiyān- i Kerman) was a Turko- Persian Sunni Muslim state, established in the parts of Kerman and Makran which had been conquered from the Buyid dynasty by the Seljuk Empire which was established by Seljuk Turks.
The Founder of this dynasty, Emadeddin Kara Arslan Ahmad Qavurt who succeeded the ruler of this dynasty after the surrender of the ruler of Buyyids, Abu Kalijar Marzuban.
For first time in this period, an independent state was formed in Kerman; eventually, after 150 years, with the invasion of the Ghuz leader's Malik Dinar, the Kerman Seljuk Sultanate fall.
The government is the first powerful local government in the Kerman and Makran region, which, in addition to political and security stability, could create economic prosperity in the provinces.
It was during this period that the Spice Road burgeoned with the flourishing of the ports of Tiz, Hormuz and Kish, and this state, as the highway of this important economic road, could use tremendous wealth with the conditions it had created.
Regarding the scientific and social conditions, at this time, with the efforts of the Shahs such as Mohammad Shah II, the scientific and cultural centers were established in Kerman, and with these actions, Kerman, which was away from the main scientific centers, became the center of science in the southeastern region of Iran's plateau.
In addition, Kerman and Makran under ruling of Seljuk, grew in agriculture and Animal husbandry, and Progressed in Commerce and trade which led to improved economic and social conditions.
Esmaili District
Esmaili District is a district( bakhsh) in Anbarabad County, Kerman Province, Iran.
At the 2006 census, its population was 37,062, in 7,719 families.
The District has no cities.
The District has three rural districts(" dehestan"): Esmaili Rural District, Ganjabad Rural District, and Hoseynabad Rural District.
Hoseynabad-e Arab
Hoseynabad -e Arab( also Romanized as Ḩoseynābād- e ʿ Arab; also known as Ḩoseynābād) is a village in Eshqabad Rural District, Miyan Jolgeh District, Nishapur County, Razavi Khorasan Province, Iran.
At the 2006 census, its population was 108, in 28 families.
Kermani, Kerman
Kermani( also Romanized as Kermānī) is a village in Derakhtengan Rural District, in the Central District of Kerman County, Kerman Province, Iran.
At the 2006 census, its population was 28, in 10 families.
Hoseynabad-e Arab Sheybani
Hoseynabad -e Arab Sheybani( also Romanized as Ḩoseynābād- e ʿ Arab Sheybānī; also known as Ḩoseynābād) is a village in Khobriz Rural District, in the Central District of Arsanjan County, Fars Province, Iran.
At the 2006 census, its population was 187, in 40 families.
Hoseynabad-e Arab Sheybani
Hoseynabad -e Arab Sheybani( also Romanized as Ḩoseynābād- e ʿ Arab Sheybānī; also known as Ḩoseynābād) is a village in Khobriz Rural District, in the Central District of Arsanjan County, Fars Province, Iran.
At the 2006 census, its population was 187, in 40 families.
Qutb al-Din Mohammad
Qutb al- Din Mohammad — was Qutlughanid ruler of Kerman and a nephew of Buraq Hajib, founder of dynasty.
Mehrdasht District
Mehrdasht District is a district( bakhsh) in Najafabad County, Isfahan Province, Iran.
At the 2006 census, its population was 24,342, in 6,605 families.
The District has two cities: Dehaq and Alavicheh.
The District has two rural districts(" dehestan"): Eshen Rural District and Hoseynabad Rural District.
Rukn al-Din Mubarak Khwaja
Rukn al- Din Mubarak Khwaja — was a Qutlugkhanid ruler of Kerman and the son of Buraq Hajib, founder of the dynasty.
Central District (Anar County)
The Central District of Anar County  is a district (bakhsh) in Anar County, Kerman Province, Iran.
At the 2006 census, its population was 31,554, in 7,803 families.
The District has two cities: Anar and Aminshahr.
The District has two rural districts ("dehestan"): Bayaz Rural District and Hoseynabad Rural District.

Question: Are Kermani, Kerman and Hoseynabad-E Arab located in the same country?
Answer: yes