Sentence examples for retracts is from inspiring English sources

Solvability of generalized variational inequalities expressed as co-equilibria problems for non-self non-convex set-valued maps defined on Lipschitzian retracts is established in the last section (Theorem 32 and Corollary 33).

Thus, retracts and neighborhood retracts are characterized by extension properties.

An L-retract is clearly a neighborhood retract of E and, in particular, is closed in E. The class of L-retracts is quite large and contains many subclasses of non-convex sets of interest in analysis and topology, e.g., closed subset of normed spaces that are bi-Lipschitz homeomorphic to closed convex sets, epi-Lipschitz subsets of normed spaces, prox-regular sets, etc. (see [59] and [11]).

Clearly, every nonexpansive retract is of hyperbolic type.

Since an absolute retract is path connected, we see that Θ is path connected.

Since an absolute retract is path-connected, Θ is path-connected.

The indentation morphology after the indenter is fully retracted is shown in Figure 2.

However, the behaviour and shape of deformable drops as they approach or retract is still not well resolved.

The study, since retracted, is the centerpiece of an international movement that advocates not vaccinating children against diseases.

The false promises, later retracted, were shameful.

Some prosecution evidence, which had subsequently been retracted, was deemed to be inadmissible.