Sentence examples for proximal mapping from inspiring English sources

Then the proximal mapping is.

It is called the resolvent (or the proximal mapping) of.

Moreover, the proximal mapping of (|L|_+mathcal {I}(Lgeq0)) is difficult to compute [4].

Based on the definition of the proximal mapping, (1.3) can be written as (1.4).

In a vector space endowed with a uniformly Gâteaux differentiable norm, it is proved that the Moreau envelope enjoys many remarkable differential properties and that its subdifferential can be completely described through a certain approximate proximal mapping.

Now, let us state the following key property of the proximal mapping complement, which was proved in Remark 3.2 of Moudafi and Thakur [18].

In this manuscript, we propose new types of Suzuki and convex proximal maps to prove best proximity results.

In this section, we deduce best proximity theorems for Suzuki and convex proximal maps in partially ordered sets.

We hypothesized that partial aortic occlusion (P-REBOA) would maintain a more physiologic proximal MAP and reduce distal tissue ischemia.

Furthermore, this study showed that proximal MAP tumours had a preferential location in the cecum or ascending colon, as opposed to the transverse colon, which was also reported by O'Shea at al.[ 31] The relatively high number of observed (meta) synchronous carcinomas in MAP patients is in agreement with previous reports on MAP patients (Table 2).

On the other hand, Cao [33] introduced and studied a new system of generalized quasi-variational-like-inclusions applying the η-proximal mapping technique.