The phrase "shared notion" is correct and usable in written English.
You can use it to refer to an idea or belief that is widely accepted or generally agreed upon by a group of people. For example, "We all had a shared notion that the project would be a success."
The presence of double status positions in several European countries calls for the reassessment of the widely shared notion that participation in education is incompatible with motherhood.
Hollande's insistence on a private life that needs to remain such makes sense only if we assume a shared notion of selfhood – essentially, that a public, perceptible face conceals a private, imperceptible self.
Third, increased electoral competition suggests that Liberia's democracy is opening up, but also reveals the pernicious and widely shared notion that the path to wealth is through the public sector.
The influential postcolonial theorist Homi Bhabha cautions against an unquestioning embrace of globalization, viewing it as an exclusive state of world-citizenship, one that is only open to the privileged few and conforms to a global, shared notion of free-market capitalism, usually exploiting poor citizens.
There was a shared notion of Canada being 'super chill,' modern, and, of course, friendly.
Our diversity is a resource just as it is in the Latino community where despite diverse national origins, languages and races, people can unite when necessary around an invented but shared notion of identity and destiny.
Political dialogue is shot through with shared notions of right and wrong.
Gradually, Pat and Paul arrived at various shared notions about what philosophy was and what it ought to be.
Positive law that restricts access to information and places often reflects widely shared notions of which accesses cause significant harms and which do not.
Once again the venue had been chosen carefully – a cultural centre where Afghans and westerners could mingle around shared notions of art and creativity.
Instead of diverging over whether the highest priority should be profit or knowledge for the sake of knowledge, companies and universities can come together around shared notions of the common good.
