Sentence examples for mapping of weak from inspiring English sources

Let T : C → C be a mapping of weak asymptotic pointwise ρ-contraction type.

High precision mapping of weak magnetic fields is of interest for several branches of pure and applied research.

Theorem 1.1 [3]Let C be a nonempty weakly compact subset of a Banach space E, and let T : C → C be a mapping of weak asymptotic pointwise contraction type.

Furthermore, if C is a nonempty weakly compact subset of a Banach space E and T : C → C a mapping of weak asymptotic pointwise contraction type, then T has a unique fixed point v ∈ C and, for each x ∈ C, the sequence of Picard iterates { T n x } converges in norm to v (see [11]).

Cheng and Zhu obtained a lower semicontinuity result of the solution mapping to weak vector variational inequalities in finite-dimensional spaces by using the scalarization method (see [14]).

Namely, this section is devoted to derive the upper bounds for the distance from the perturbed (weak) solution mapping of (2.1) to the (weak) solution mapping for problem (2.2).

In the main section of this paper, we extend the only mapping to two pairs of weak commutative mappings and obtain the fixed point under certain contractive conditions.

By using a condition (Hg) similar to it given in [32], Li and Chen [21] proved that (Hg) is also sufficient for the Hausdorff lower semi-continuity of the solution mapping to a class of weak vector variational inequality.

However, in [15] Abbas and Ilić obtained various common fixed-point and invariant approximation results for such mappings under the assumption of weak compatibility of maps.

4-fold NCS averaging was used to improve maps in the areas of weak density in chains C and D corresponding to the linker and the β3−α2 and β2′−β3′ loops.

In this paper, we give the definitions of a countable family of relatively nonexpansive mappings and a countable family of weak relatively nonexpansive mappings which are generalizations of a relatively nonexpansive mapping and a weak relatively nonexpansive mapping respectively.