Sentence examples for every averaged from inspiring English sources

Since every averaged mapping is strongly nonexpansive [10], it follows that (J_{lambda }^{B} I-lambdavarphi)) is also strongly nonexpansive.

(3.13) From (3.12) and (3.13), we obtain lim_{nrightarrowinfty} bigl(|V Ax_{n}-Ap|- |Ax_{n}-Ap| bigr)= 0. (3.14) Since V is averaged nonexpansive and every averaged nonexpansive map is strongly nonexpansive, we see that V is strongly nonexpansive.

Thus, a map T is firmly nonexpansive if and only if 2 T − I = S where S is nonexpansive and I an identity mapping on H.   (ii) Every averaged mapping is nonexpansive.

Thus, a map T is firmly nonexpansive if and only if 2 T − I = S where S is nonexpansive and I an identity mapping on H. Every averaged mapping is nonexpansive.

Assume that { A x n } is a bounded sequence and that lim sup n → ∞ α n < 1, ∑ n = 1 ∞ r n < ∞, and lim n → ∞ ∥ x n − y n ∥ r n = 0. Then { x n } converges weakly to a point in VI ( Fix ( T ), A ). Proof Since every averaged nonexpansive mapping is strongly nonexpansive and Fix ( ( 1 − α ) I + α T ) = Fix ( T ) for α ∈ ( 0, 1 ), Theorem 3.1 implies Corollary 3.1.

Surrogate spike recoveries for BDE-119, which was added to every sample, averaged 83%.

Surrogate spike recoveries for BDE-119, added to every sample, averaged 99%.

At both stations, data were acquired every second, and averaged and stored every minute.

Spectra were averaged every 3 minutes.

All respiratory data were averaged every 30 s.

Hemodynamic and ventilatory variables were averaged every 2.5 minutes and monitored for 2 hours.