Sentence examples for a sequence of mappings from inspiring English sources

will be said to be an asymptotic pointwise nonexpansive mapping if there exists a sequence of mappings such that (2.1).

A mapping is called (i) a pointwise Lipschitzian mapping if there exists such that   (ii) an asymptotic pointwise nonexpansive if there exists a sequence of mappings such that  . a pointwise Lipschitzian mapping if there exists such that.

For a sequence of mappings, the graphical outer limit, denoted by, is the mapping which has as its graph the set : (2.10).

Definition 1.4 [13] (1) Let { A n } : C → C be a sequence of mappings, and let A : C → C be a mapping.

Assume that a sequence of mappings,, satisfies.

Let be a sequence of mappings.

Let be a sequence of mappings defined by (2.38).

Let,, and let a sequence of mappings,, satisfy (2.6).

Let be a sequence of mappings defined as Lemma 2.1.

Consider a sequence of mappings on defined by (3.1).

Let ({ T_{n} } ) be a sequence of mappings from C into H.