Sentence examples for be a nonself contraction from inspiring English sources

Let be a (nonself) contraction with coefficient.

(iii) If T is a nonself uniformly Lipschitzian mapping or a nonself asymptotically quasi-nonexpansive mapping, then it must be a nonself uniformly quasi-Lipschitzian mapping.  .

If T is a nonself uniformly Lipschitzian mapping or a nonself asymptotically quasi-nonexpansive mapping, then it must be a nonself uniformly quasi-Lipschitzian mapping.

Let be a nonself nonexpansive mapping with and the metric projection from onto.

(ii) is said to be a nonself uniformly -Lipschitzian mapping if there exists a constant such that (1.2)  . is said to be a nonself uniformly -Lipschitzian mapping if there exists a constant such that (1.2). for all and.

Let K be a nonempty subset of a metric space (X, d) and (T Krightarrow X) be a nonself mapping.

Let A and B be two nonempty subsets of metric space ( X, d ) and T : A → B be a nonself mapping.

(i) is said to be a nonself asymptotically nonexpansive mapping if there exists a sequence, with such that (1.1)  . is said to be a nonself asymptotically nonexpansive mapping if there exists a sequence, with such that (1.1).

Let (T Arightarrow B) be a nonself-mapping.

If T is a nonself asymptotically nonexpansive mapping, then it must be nonself uni-formly Lipschitzian, but the converse does not hold [3].

(ii) If T is a nonself asymptotically nonexpansive mapping, then it must be nonself uni-formly Lipschitzian, but the converse does not hold [3].