Sentence examples for mapping for which from inspiring English sources

In 2005, Sastry and Babu [1] introduced the Mann and Ishikawa iterations for multivalued mappings as follows: let be a real Hilbert space and be a multivalued mapping for which.

The accuracy of automated techniques was evaluated relative to manual labeling using the Dice similarity index and surface-based shape mapping, for which we computed vertex-wise displacement vectors between automated and manual segmentations.

Suppose that is a nonexpansive mapping for which (2.6).

Suppose that is a mapping for which there exists a function such that (2.25).

Let be a mapping for which there exists a function satisfying (2.2), (2.3), and (2.4).

Hicks and Kubicek [4] gave an example of pseudocontractive mapping for which Mann iteration process fails.

Let be a mapping for which there exists a function satisfying (2.2) such that (4.1).

Let be an even mapping for which there exists a function satisfying (2.19) and (2.43).

Let be a mapping for which there exist functions such that (2.32).

Let be a mapping for which there exist functions and such that (3.2). (3.3).

Suppose that there exists a mapping for which a mapping satisfies (3.13).