Sentence examples for supposed for each from inspiring English sources

Supposed for each,, then by condition (i), we have for each, is nonempty and convex.

Suppose, for each, that the set (3.5).

Suppose, for each, that is demiclosed at and the set (3.8).

Suppose for each (tinOmega), (x_{0}(t)in H) is solution of the RGVIP (2.1).

Translation 4. Suppose, for each, is the maximum compression rate that user is willing to tolerate.

Suppose, for each, that there exists such that is a contraction with constant.

Suppose, for each, that is upper semi-continuous and the set (3.1).

Suppose for each the set is nonempty and for each there exists a point such that and (7.5).

Suppose for each (t_0in R) there exists (T_{t_0}) such that the BLR condition is satisfied for (L^{(1)}) on ([t_0,T_{t_0}]).

Corollary 2.5 Let ( X, M, ∗ ) be a complete fuzzy metric space and suppose for each h > 1, lim n → ∞ ∗ i = n ∞ M ( x, y, t h i ) = 1.

Theorem 2.3 Let ( X, M, ∗ ) be a complete fuzzy metric space and suppose for each h > 1, lim n → ∞ ∗ i = n ∞ M ( x, y, t h i ) = 1.