Sentence examples for minimal norm point from inspiring English sources

Therefore, if one takes to be the identity operator, then the regularized solution of the corresponding regularized VIP (2.1) converges in norm to the minimal norm point of the solution set.

We prove that the sequence {x n } generated by (1.5) and (1.6) converge strongly to the element of minimal norm fixed point of nonexpansive mappings.

This technique uses (strict) contractions to regularize a nonexpansive mapping for the purpose of selecting a particular fixed point of the nonexpansive mapping, for instance, the fixed point of minimal norm, or of a solution to another variational inequality.

So, it admits a point of minimal norm.

This is equivalent to saying that there is a point with minimal norm in the translated convex set D = C − x.

Using Tychonov regularization, we obtain a net of solutions for some minimization problem approximating such minimal norm solutions.

The proof consists in showing that every minimizing sequence (dn) ⊂ D is Cauchy (using the parallelogram identity) hence converges (using completeness) to a point in D that has minimal norm.

Then the sequence {x n } generated by the algorithm (1.6) strongly converges to a fixed point of T which is of minimal norm.

We ask whether, for such a norm, there is some map in H1/2(S1;S1) of prescribed topological degree equal to 1 and minimal norm.

Then, using Tychonov regularization, we obtain the minimal norm solution by a net of solution for some minimization problem.

In this section, we define the concept of the minimal norm solution of SEP (1.1).