Sentence examples for maps defined in from inspiring English sources

Let Ψ, Φ and (F_{varepsilon}) be the maps defined in (3.3) and (3.4).

The family of maps defined in (19) is an example of a family of such extensions.

Remark 2.4 Theorem 2.1 is an extension of Theorem 1 of [5] to nonexpansive maps defined in a product space.

We now introduce the definitions of nonexpansive maps, asymptotically nonexpansive maps, Lipschitzian and uniformly Lipschitzian maps defined in product spaces.

Now, we introduce the following definitions of multipled coincidence points, common multipled fixed points and w-compatibility for maps defined in finite-dimensional product spaces.

An interesting future direction is to extend this comparison to modified versions of the tent map, such as the maps defined in [40 42].

The second part is an analogy to the Haldane map function defined in hidden Markov model [18].

Let F be the associated multivalued map defined in (3.3).

then the map defined in is a contraction.

Let be the map defined in the previous theorem.

Then the mapping defined in (2.2) is the least Carathéodory solution of (1.1) and the mapping defined in (2.3) is the greatest one.