Sentence examples for be an approximate fixed from inspiring English sources

Recall the main concepts as follows: (1) A sequence { z n } in C is said to be an approximate fixed point sequence of { T n } if z n − T n z n → 0. The set of all bounded approximate fixed point sequences of { T n } is denoted by F ˜ ( { T n } ) ; see [1].

Let be an approximate fixed point sequence.

Let be an approximate fixed point sequence and let.

A sequence is said to be an approximate fixed point sequence for the mapping if.

Let be an approximate fixed point sequence, that is,, and such that for a certain.

Let be the unique fixed point of and let be an approximate fixed point sequence.

A sequence { x n } in C is said to be an approximating fixed point sequence of T if lim n → ∞ d ( x n, T x n ) = 0. Definition 2.2 Let C be a nonempty subset of a metric space X.

Since { y n } is an approximating fixed point sequence of ℱ, we infer from Theorem 5.4 that y ∗ ∈ Fix ( F ).

Then it remains to show that {y n } is an approximating fixed point sequence of the family J t A : t > 0 of resolvent operators of.

Then it remains to show that {y n } is an approximating fixed point sequence of the family {S t : t > 0} of resolvent operators of G.

Note that {y n } is an approximating fixed point sequence of family, i.e., lim n → ∞ y n - T h y n = 0 for all 0 ≤ h < ∞. (3.7).