Sentence examples for obtained weak from inspiring English sources

However, he only obtained weak convergence theorems.

In 2000, Osilike and Aniagbosor [18] obtained weak and strong convergence results for asymptotically nonexpansive mappings using a modified Ishikawa iteration.

Section 4, we formulate Mond-Weir type dual problem and obtained weak and strong duality theorems for a strict minimizer of order m.

In 2001, Xu and Ori [6] obtained weak convergence result using an implicit algorithm for a finite family of nonexpansive maps as follows: Theorem 2.4.

Temir and Gul [5] obtained weak convergence theorems of fixed points for I-nonexpansive mappings and I-asymptotically quasi-nonexpansive mappings in Hilbert space.

In 2005, Matsushita and Takahashi [5] reformulated the definition of the notion and obtained weak and strong convergence theorems to approximate a fixed point of a single relatively nonexpansive mapping.

The obtained weaker conditions and the proposed IRLS algorithm are tested and compared with the mixed l 2/l 1 minimization method and the standard l q  minimization method on a series of noiseless and noisy block-sparse signals.

For this purpose, we obtain weak and variational form.

However, their iterative algorithms only obtain weak convergence.

We obtain weak and strong convergence theorems of the proposed iteration in uniformly convex Banach spaces.

We obtain weak and strong convergence results for the sequences generated by these processes.