Sentence examples for strongly generalized from inspiring English sources
Since is strongly generalized nonexpansive, It follows from Lemma 2.7 that and hence This implies that and is strongly generalized nonexpansive, as desired.
If, in addition, is uniformly convex, then is strongly generalized nonexpansive.
(1 If is strongly relatively nonexpansive, then is strongly generalized nonexpansive with property.
The strongly generalized differentiability was introduced in [17] and studied in [19, 36 38].
We now prove the duality theorem for strongly relatively nonexpansive mappings and strongly generalized nonexpansive mappings.
(2 If is strongly generalized nonexpansive with property then is strongly relatively nonexpansive.
These data are compared with density functional theory calculations to develop an understanding of micaceous plasticity in terms of strongly anisotropic generalized stacking fault energies.
Furthermore, there are a wide classes of problems arising in optimization, economics, structural analysis and fluid dynamics, which can be studied in the general framework of the generalized strongly nonlinear mixed variational-like inequality, which is the main motivation of this paper.
Several existence results of solutions for the generalized strongly nonlinear mixed variational-like inequality involving strongly monotone, relaxed Lipschitz, cocoercive, relaxed cocoercive and generalized pseudocontractive mappings, and the convergence results of iterative sequence generated by the algorithm are given.
The existence of solutions and convergence of sequence generated by the algorithm for the generalized strongly nonlinear mixed variational-like inequalities are obtained.
The goal of this section is to prove several existence of solutions and convergence of the sequence generated by Algorithm 3.2 for the generalized strongly nonlinear mixed variational-like inequality (2.1).
