Sentence examples for be a retraction if from inspiring English sources

A map is said to be a retraction, if.

A mapping (P Xrightarrow K) is said to be a retraction if (P^{2}=P).

A map (P Xto K) is said to be a retraction if (P^{2} =P).

A map P : E → K is said to be a retraction if P 2 = P.

A mapping P : X → D is said to be a retraction, if P 2 = P.

A mapping P : X → X is said to be a retraction if P 2 = P.

A mapping Q of E into E is said to be a retraction [3] if (Q^{2} = Q).

A mapping Q of X into X is said to be a retraction [5] if (Q^{2} = Q).

Let C be a nonempty, closed, and convex subset of E and Q be a mapping of E onto C. Then Q is said to be sunny [1] if Q ( Q ( x ) + t ( x − Q ( x ) ) ) = Q ( x ), for all x ∈ E and t ≥ 0. A mapping Q of E into E is said to be a retraction [1] if Q 2 = Q.

for each x∈L is a fuzzy negation that extends N from M to L. It is worth noting that in Proposition 8, it is required only that r needs to be a retraction (it is not necessary to be neither a lower nor an upper retraction), and hence if r is a lower retraction or an upper retraction, the result remains valid.

If is a nonempty convex subset of a Banach space and is a nonempty subset of, then a mapping is called a retraction if is continuous with.