"mutual rights" is correct and is usable in written English.
It is typically used to refer to the rights that each party in a situation has in relation to the other. For example, "The two countries agreed to respect each other's mutual rights."
Yet the original purpose was, presumably, to change the behaviour of Iran, by drawing it into a gentle web of mutual rights and obligations.
The state today needs to be enabling and based on a partnership with the citizen, one of mutual rights and responsibilities.
The timar, traditionally described as a fief, only superficially resembled European feudalism; it was part of a centralized system and did not involve the mutual rights and obligations that characterized feudalism in the West.
Dr. Osman published several books in Arabic that explored Islamic thought as it pertains to human rights and legal systems, notably "The Individual in Muslim Society: Mutual Rights and Obligations" (1963) and "Human Rights in Western Thought and Islamic Law" (1981).
The prime minister said she wanted to sort out the issue of mutual rights "at an early stage of negotiations" with the EU, but she appeared to rule out a deal before the two-year process triggered by article 50, due to be invoked next spring.
"If the bureaucrats in Brussels would say today we are happy to sit down and talk to the UK government about a deal that assures the mutual rights of citizens in each other's countries, I'm sure the UK would be happy to engage in this process".
After some mutual right-swiping on Tinder, you and the man/woman of your dreams have met for a drink and maybe more.
Then came Chicago, where, to escape the new reality of a gig that crippled me with anxiety and self-doubt, I'd seek out conversations with strangers at night I'd found via mutual right swipes or two or three bar stools down from me.
A quick success, however, fell to the Austrians in a campaign against the Vatican state over a conflict between the emperor and the Roman Curia concerning mutual feudal rights and caused by Pope Clement XI's rather pro-French leanings.
The U.S. President offered no apology, but stated that the flights had been suspended and would not resume, and renewed his Open Skies proposal for mutual overflight rights.
UNICEF will need to accompany programmes closely so as to monitor how far, in practice, they help to develop relations of mutual respect, rights and responsibilities between communities and the various institutions working with them.
