Sentence examples for mappings of the space from inspiring English sources

We emphasize the mappings h ↦ h ♮ as well as its inverse h ♮ ↦ h are one-to-one continuous mappings of the space Z + ′ onto itself.

Finally, some classes of matrix mappings on the space λ B ( r ˜, s ˜ ) are characterized.

This paper shows some continuities of mappings between the space of mixed variational inequality problems and the graph space of their solution mappings.

(in the norm of space ), which means that the pair of mappings of the cone metric space satisfies condition (E.A).

We also explore unsupervised learning techniques, and self-organizing maps, in particular, in order to produce low-dimensional mappings of the full metadata space, in order to provide new insights on how instrument performance may correlate with various factors.

Furthermore, some classes of matrix mappings on/in the space f ( G ) are characterized.

improves the mappings from a finite family of mappings to an infinite family of mappings; extends the framework of the space from a uniformly smooth and uniformly convex space to a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property.

A few years ago, the Bruck results were extended by Domínguez Benavides and Lorenzo Ramírez [2] to the case of asymptotically nonexpansive mappings if the space was sufficiently regular.

The Bruck result was extended by Benavides and Ramirez [1] to the case of asymptotically nonexpansive mappings if the space X was sufficiently regular.

We also prove common fixed point theorems for a family of fuzzy self-mappings in the space of fuzzy sets on a complete G-metric space.

We also establish common fixed point theorems for a family of fuzzy self-mappings in the space of fuzzy sets on a complete G-metric space.