The phrase "a common corollary" is correct and usable in written English.
It can be used to refer to a conclusion or result that naturally follows from a general principle or fact, often in academic or analytical contexts.
Example: "In many scientific studies, a common corollary is that increased exposure leads to heightened awareness."
Alternatives: "a typical consequence" or "a usual result".
That incongruity was perhaps most stark on a boulder in Central Park, near East 66th Street, where Mitchell Quatinetz, a part-time student at Hunter College, and his tutor, Josh Manley, were taking part in a more common corollary to conducting business outside — holding class outside — and poring over a physics review book.
This, he has been heard to say on the Tory battle bus, is no more than a common-sense corollary to the Fixed Term Parliaments Act.
Corollary 14 Let ( X, p ) be a complete partial metric space, and let S, T : X → CB p ( X ) be a multivalued mapping satisfying the following condition: H p ( S x, T y ) ≤ k p ( x, y ). for all x, y ∈ X and k ∈ [ 0, 1 ), then S and T have a common fixed point. Corollary 15 [18] (see also [1]).
Let ε ∈ ( 0, ∞ ], ( X, d ) a complete ε-chainable metric linear space and T 1, T 2, two fuzzy mappings from X into W ( X ) satisfying the following condition: ζ, ξ ∈ X, 0 < d < ε implies d ∞ ( T i , T j ≤ ψ ( d d , for i, j = 1, 2, where ψ : [ 0, ε ) → [ 0, 1 ) is a MT-function. Then T 1 and T 2 have a common fixed point. Corollary 3.6 [4, 11].
D p ( T ( x ), T ( y ) ) ≤ α ( p ( f x, f y ) ) p ( f x, f y ) ∀ x, y ∈ X ; T ( X ) = ⋃ x ∈ X T ( x ) ⊆ f ( X ) ; f ( X ) is a complete subspace of X; f v = f f v if v is a coincidence point of f and T, then T and f have a common fixed point in X. Corollary 3.5 Let ( X, d ) be a metric space and φ : [ 0, ∞ ) → [ 0, 1 ) be an MT -function.
H ( T ( x ), T ( y ) ) ≤ φ ( d ( f x, f y ) ) d ( f x, f y ) ∀ x, y ∈ X ; T ( X ) = ⋃ x ∈ X T ( x ) ⊆ f ( X ) ; f ( X ) is a complete subspace of X; f v = f f v if v is a coincidence point of f and T, then T and f have a common fixed point in X. Corollary 3.6 Let ( X, d ) be a metric space and α : [ 0, ∞ ) → [ 0, 1 ) be a nondecreasing or nonincreasing function.
Hence, z is a common fixed point of T and S. Corollary 1 Let ( X, d, ≼ ) be an ordered metric space.
Our strategy is to apply Corollary 2.4 to find a common fixed point for the multivalued mappings S and T that is, in turn, a common solution to the integral inclusions (3.1) and (3.2).
By Corollary 2.2, T and S have a common fixed point.
Proof From Corollary 3.6, S and T have a common fixed point in X.
