"persistent notion" is a perfectly correct and usable phrase in written English.
It is used to describe an idea or belief that is well-established, enduring, and difficult to change. For example, "The persistent notion that the Earth is the center of the universe was not disproved until the 16th century."
More vexing to Mrs. Phair was the persistent notion that she had taken the name from the Disney character.
A persistent notion among reporters and newsmakers is that the Journal, which has published for the last 134 years, will eventually be shut down, and that The Star-Ledger will begin covering Hudson County.
The pieces looked like movement exercises at times, created on the spot while playing with a particular piece of music, gesture or persistent notion in a cleared-away space.
Rejecting the dangerously persistent notion that she simply wanted to be president because it was her turn, Clinton also used much of the packed speech to describe her real motivation.
The array of subjects tackled in "Principles" included memory, attention, emotions, instinct, imagination, habit, the consciousness of self, and "automaton theory," the persistent notion, of which James disapproved, that within our neural machinery lies some sort of homunculus, or mini-man, "that offers a living counterpart for every shading, however fine, of the history of its owner's mind".
"We can see them in the increasing importance of transnational migrant labor and the rapid flow of capital around the globe, in the persistent notion that citizens deserve certain rights that are denied to aliens, and in the sentimental and idealistic ways Americans sometimes approach the exercise of U.S. power around the world".
Fundamentally, it means rethinking our still-persistent notion that educational problems should be solved by schools alone.
So she has played into the persistent, demeaning notion that women are worthy as athletes only if they have sex appeal.
Kirkham [ 22] notes that certain populations, including immigrants, are disadvantaged by the persistent colonial notion of white superiority in healthcare practices [ 22].
His brother, Lucas, 4, has been persistent in the notion that "if the terrorists knew how much we love Papa, they wouldn't have flown the plane into the tower".
His life was devoted to pushing, in the most amiably persistent way, the notion that if workers became stakeholders, if the gap between management and labour vanished, and if effort and profit were shared for the common good, human beings would be happier, freer and, just possibly, better off.
