Sentence examples for satisfy all hypotheses from inspiring English sources

Let f satisfy all hypotheses of Theorem  1.2.

Furthermore, there exist functions (j x,u)), which satisfy all hypotheses of Theorem 1.3 and Theorem 1.4, while they do not satisfy hypothesis (J9).

Note that f and T satisfy all the hypotheses of Theorem 2.1.

Thus, f, g, S, T, ψ and φ satisfy all the hypotheses of Theorems 2.1.

Thus, f and T satisfy all the hypotheses of Corollary 2.1.

Thus F and g satisfy all the hypotheses of Corollary 2.7.

So, F, ψ and ϕ satisfy all the hypotheses of Theorem 1.

So, F and g satisfy all the hypotheses of Theorem 2.2.

Thus T and f satisfy all the hypotheses of Corollary 2.2 and hence T and f have a coincidence point.

Thus T satisfy all the hypotheses of Theorem 3 and hence T has a unique fixed point.

Thus f, g, ψ and ϕ satisfy all the hypotheses of Theorem 2.3 and hence f and g have a common fixed point.