Sentence examples for mappings induced by from inspiring English sources

Let be -continuous random multivalued mappings induced by,, and, respectively.

We call, and are random multivalued mappings induced by fuzzy mappings and, respectively.

In the sequel, for some, and are called the set-valued mappings induced by the fuzzy mappings and, respectively.

Let be three random fuzzy mappings satisfying the condition (C), be three random multivalued mappings induced by the mappings, respectively, and are -Lipschitz continuous with constants, and, respectively.

Let (F_{i}, F_{j} : X rightarrow K X)) be two fuzzy mappings and (hat{F}_{i}, hat{F}_{j} : Xrightarrow operatorname{CB}(X)) be mappings induced by (F_{i}), (F_{j}) according to (3.7).

Let (F, G : X rightarrow K X)) be two fuzzy mappings and (hat{F}, hat{G} : Xrightarrow operatorname{CB}(X)) be mappings induced by F, G according to (3.7).

The Weyl group (W_mathrm {SO}) is generated by the permutations together with the involutions which are induced by the mappings that simply exchange (e_j) with (c e_j,).

In our previous work [1], certain set-valued dynamical systems induced by such mappings have been investigated and some new iterative methods for approximating the corresponding fixed points have been obtained.

We computed the pairwise shortest path distances with Dijkstra's algorithm [ 44] for atoms in the three subgraphs induced by atom mappings for carbons, nitrogens and phosphorus.

Here and are an inclusion and a projection induced by the corresponding mappings of chain spaces [5, 7].

Theorem 25 Let (E, ≤) be a vector lattice and K a regular cone in E. Suppose that f, g : K → K are two mutually dominated mappings with respect to the order induced by K and f ( x ) - g ( y ) ≤ ϕ ( x - y ) (2.1).