Sentence examples for more general space from inspiring English sources

Theorem 1 can be farther generalized to a more general space A B p t ∩ F ( p, p − 2, s ), where A B p t space is the set of functions f ∈ H ( D ) such that (see [13]) ∥ f ∥ A B p t = | f ( 0 ) | + ( ∫ D | f ′ ( z ) | p ( 1 − | z | ) ( 1 − t ) p − 1 d A ( z ) ) 1 p < ∞.

That is, a more general space is studied in this paper.

With these techniques, the main conclusion will be established in a more general space with less restrictive conditions.

A more general space than spaces satisfying the Kirk-Massa condition is a space having property (D).

In many cases, the Lorentz space should be substituted by more general space, the weighted Lorentz space.

The first one of these techniques is to 'replace' the notion of a metric space with a more general space.

During the last decades, many authors have been concerned with the extension of this framework to more general spaces, generalized contractions and infinite IFSs or, more generally, to multifunction systems.

However, no researcher has studied the fixed point theorems for N-generalized hybrid mappings in more general spaces.

Further, increasing research interest relies on the generalization of Fixed Point Theory to more general spaces than the usual metric spaces such as, for instance, ordered or partially ordered spaces (see, e.g., [3 5]).

This new edition includes a more extensive discussion of best prediction and associated ideas of R2, as well as new sections on inner products and perpendicular projections for more general spaces and Milliken and Graybill's generalization of Tukey's one degree of freedom for nonadditivity test.

From then on, the notion of exceptional family for complementarity problems has been generalized to set-valued mappings, or to more general spaces such as Hilbert spaces, Banach spaces, reflexive Banach spaces by several researchers.