Sentence examples for obtained weaker from inspiring English sources
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.
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 1998, Takahashi and Tamura [3] considered an iteration procedure with two nonexpansive mappings and obtained weak convergence theorems for this procedure in a uniformly convex Banach space which satisfies Opial's condition or whose norm is Fréchet differentiable.
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.
In [6], Bekjan defined the Hardy-Littlewood maximal function for τ-measurable operators and, among other things, obtained weak ( 1, 1 ) -type and ( p, p ) -type inequalities for the Hardy-Littlewood maximal function.
Later, Cholamjiak et al. [46] introduced a modified Mann iteration and obtained weak and strong convergence theorems for a countable family of nonexpansive multivalued mappings by using the best approximation operator in a Banach space.
On the other hand, motivated by Nakajo and Takahashi [14], Matsushita and Takahashi [17] reformulated the definition of the notion and obtained weak and strong convergence theorems to approximate a fixed point of a single relatively nonexpansive mapping.
