Sentence examples for mappings is said from inspiring English sources

A mappings is said to be a -strictly pseudocontractive mapping if there exists such that (4.3).

Recall that a mappings is said to be nonexpansive if.

In this case, the notation is used, and the sequence of mappings is said to converge graphically to.

Then the pair of these mappings is said to be weakly compatible if they commute at their coincidence point, that is, fx = gx implies that fgx = gfx.

Given a sequence of mappings, is said to be uniformly bounded if for any sequence contained in a bounded set, there exists a positive number such that for any sequence with for all, it holds that (2.15).

If the bounded measurable function (L t)) in (1.4) is such that (L t geq1) for each (t>0), (L t)) is nonincreasing in t, and (lim_{trightarrow infty}L t)=1), then the strong continuous semigroup of Lipschitzian mappings is said to be an asymptotically nonexpansive semigroup.

Two mappings are said to be weakly comparable if and for all.

Two mappings are said to be weakly increasing if and for all.

Then the mappings are said to be weak compatible if they commute at their coincidence point, that is, implies that.

Two set-valued mappings are said to satisfy the property of generalized -weak contraction if the inequality (2.1).

For (r x,y)=lambdain 0,1)) (resp., (r x,y)=1)) such mappings are said to be λ-contractive (resp., nonexpansive) mappings.