Sentence examples for mappings is called from inspiring English sources

Such a mappings is called the -mapping generated by and.

The set of measurable mappings is called a random solution of (2.7).

A family of mappings is called a family of uniformly -strict pseudocontractions, if there exists a constant such that (2.6).

A family of mappings is called a one-parameter strongly continuous semigroup of nonexpansive mappings (nonexpansive semigroup, for short) on if the following are satisfied.

Recall that a family of mappings is called a nonexpansive semigroup, if it satisfies the following conditions: (a) for all and ; (b).

A family of mappings is called a one-parametric strongly continuous semigroup of nonexpansive mappings (nonexpansive semigroup, for short) on if the following assumptions are satisfied: (1) for all, (2)for each, the mapping from into is continuous, (3)for each, is a nonexpansive mapping.

Also two mappings are called generalized -weak contractions if there exists a map with and for all such that.

Two mappings are called generalized -weak contractive if there exists a map with and for all such that (2.2). for all.

Later, such mappings were called Suzuki-type nonexpansive.

Thus these Euler-Lagrange type equations (mappings) are called as Euler-Lagrange-Rassias functional equations (mappings).

Two mappings are called generalized weak contractions if there exists such that (2.1).