Sentence examples for inward condition from inspiring English sources
Note that T satisfies the inward condition.
Suppose that is a nonempty closed convex subset of and is a continuous pseudocontraction satisfying the weakly inward condition.
In the classical literature, it has been proved that the inward condition can be often dropped in favor of a weaker condition.
Let be a real uniformly convex Banach space, a nonempty closed subset of with as a sunny nonexpansive retraction and a mapping satisfying weakly inward condition, then.
Remark 2.7 In the case that T is a non-self mapping, we remark that Corollary 2.5 still holds under the assumption that T satisfies the weak inward condition.
T is a non-expansive mapping, which satisfies the inward condition (2) and such that (operatorname{Fix}(T neqemptyset), then ({x_{n}}) weakly converges to a point (pin operatorname{Fix}(T)).
It is worth to mention that in general, the contraction and weakly inward conditions of Theorem 2.5 can not be replaced with somewhat weaker conditions, namely, nonexpansive and T ( x ) ∩ I M ( x ) ¯ ≠ 0̸, even in the setting of Banach spaces, see [5].
(b) It is worth to mention that in general, the contraction and weakly inward conditions of Theorem 2.5 can not be replaced with somewhat weaker conditions, namely, nonexpansive and T ( x ) ∩ I M ( x ) ¯ ≠ 0̸, even in the setting of Banach spaces, see [5].
A two-tailed paired-samples t test revealed that target length was larger in the target-outward/match-inward condition (M = 105.4%; SE = 1.3) than in the target-inward/match-outward condition [ M = 96.8%, SE = 1.7; t(5) = 3.0; p < .05; Fig. 3a].
This is especially true when it comes to congenital defects like entropion, with eyelashes turned inward, a condition whose correction is illegal in show dogs but necessary for the sake of the animals' well-being.
As it can be seen from Fig. 1, the radiance computed using the cDA agree relatively well with the RTE and satisfy the zero boundary condition in inward direction.
