Sentence examples for sequential continuity from inspiring English sources

(2) C O C I = ∑ j = 1 M n j 2 − N N N − 1 3. Sequence: Sequential Continuity of Care (SECOC) – the index sequentially measures the various physicians visited in the order in which different providers are seen.

Comparing their results with Theorems 2.5 and 2.6, we present other alternative conditions instead of requiring S to be weakly-strongly continuous, T to be sort of 'weak sequential continuity' and (T K +S K subset K).

The notions of open balls and sequential continuity in D-metric space were introduced in [11].

Hence, continuity is equivalent to sequential continuity and compactness is equivalent to sequential compactness.

Now, from Lemma 2.2, (3.23), and the weakly sequential continuity of the duality mapping, we have (3.24).

which together with the weakly sequential continuity of J implies that lim n → ∞ ∥ x n − x ˜ ∥ = 0.

Notice that the notions of sub-sequential continuity and sequentially continuity of type (Ag) (also alternately notions of sub-sequential continuity and sequentially continuous of type (Af)) are independent of each other.

Although I-sequential continuity is a special case of G-sequential continuity when G = lim, we state the definition of I-sequential continuity of a function defined on a subset E of R as follows.

S without the sequential weak continuity of the involved mappings.

In some applications, the sequential weak continuity condition is not easy to be verified.

We prove some fixed point theorems for the sum S + T where S is a strict contraction while T is power-convex condensing w.r.t. S. In some applications, the concepts of ws-compactness and ww-compactness seem to be more practical than the sequential weak continuity.