Sentence examples for obtain fix from inspiring English sources

Using Lemma 1.10, we have d ( x, G x ) ≤ h s 0 = 0. So, x ∈ Fix ( G ). Hence Fix ( F ) ⊆ Fix ( G ). Similarly, we can obtain Fix ( G ) ⊆ Fix ( F ). □.

Remark 2.3 If in Theorem 2.1, instead of property (P), we suppose that every selection t of T has closed graphic, then we obtain Fix ( T ) = S Fix ( T ) ≠ ∅.

For n = 1, we have Q 1 = C. Hence we obtain Fix ( S ) ∩ Ξ ∩ VI ( C, A ) ⊂ C 1 ∩ Q 1. Suppose that x k is given and Fix ( S ) ∩ Ξ ∩ VI ( C, A ) ⊂ C k ∩ Q k for some integer k ≥ 1.

In the existing literature, contractive conditions are imposed on mappings to obtain fixed points and common fixed points.

Therefore, Theorem 3.4 is not applicable to obtain fixed point of or common fixed points of and.

Eukaryotic organisms are only able to obtain fixed nitrogen through their symbiotic interactions with nitrogen-fixing prokaryotes.

To obtain fixed points for some maps for which Picard iteration fails, a number of fixed point iteration procedures have been developed.

From (2.31), we obtain fixed points.

Next we obtain fixed point results by means of the τ-GGLD and the Opial property.

Many authors have been using the Hausdorff metric to obtain fixed point results for multivalued maps.

However, we impose subtle restrictions to obtain fixed point results for such mapping.