It is shown in Example 2.1 that { f n } is a sequence of nearly contraction mappings from C into H with sequence { ( k n, a n ) }, where k n = 1 n + 1 and a n = 5 2 ( n + 1 ).
Therefore, { f n } is a sequence of nearly contraction mappings with sequence { ( k n, a n ) }. Let C be a nonempty closed convex subset of a Hilbert space H.
Let { f n } be a sequence of nearly contraction mappings from C into H with the sequence { ( k n, a n ) } in [ 0, 1 ) × [ 0, ∞ ) such that k n → κ, and let { T n } be a sequence of nonexpansive mappings from C into itself. For given x 1 ∈ C, let { x n } be a sequence in C generated by (3.1), where { α n } is a sequence in ( 0, 1 ] and { β n } is a sequence in ( 0, 1 ).
"Prit'near" - Contraction of "pretty near".
Let C be a nonempty closed convex subset of a real Hilbert space H. Let { f n } be a sequence of nearly contractions from C into H such that { f n } converges pointwise to f and let { T n } be a sequence of nonexpansive self-mappings of C which are viewed as perturbations.
A rapid expansion or contraction of a gas is very nearly adiabatic.
The number of contractions accounted for nearly a third of the total alleles compared with only 8% when cells were transfected with the Cas9 nickase-expressing vector alone (Fig. 2c, P<0.0001, using a Fisher's exact test).
Because of the lanthanide contraction of the elements in the fifth period, zirconium and hafnium have nearly identical ionic radii.
Due to the lanthanide contraction of the elements in the sixth period, zirconium and hafnium have nearly identical ionic radii.
Results: Although the number of antral motor contractions remained relatively constant throughout the study, duodenal motor contractions decreased nearly fourfold after the instillation of mydriatics versus that seen before (P <.01).
