Sentence examples for in a normed from inspiring English sources

This paper is devoted to the investigation of the existence of fixed points in a normed linear space with norm for self-maps from to which are constructed from a given class of so-called primary self-maps from to.

This paper is devoted to the investigation of the existence of fixed points in a normed linear space endowed with a norm for self-maps from to which are constructed from a given class of so-called primary self- maps being also from to.

But A is not a M-neighborhood of 0. To prove this assertion, let us assume that A is a τ X, X* -neighborhood of 0. In a normed space, M-topology is the norm topology, and so A is a ||.

We can also see that it is satisfied in a normed space if and only if the norm is induced by a scalar product.

The same result is also true for approximately exponential mappings with values in a normed algebra with the property that the norm is multiplicative.

We establish some generalizations of the recent Pečarić-Rajić-Dragomir-type inequalities by providing upper and lower bounds for the norm of a linear combination of elements in a normed linear space.

More precisely, we explore the relation between the existence of a strongly orthogonal Hamel basis relative to an element with the unit norm in the sense of Birkhoff-James in a normed space and that of an extreme point of the unit ball in the space.

In arbitrary normed spaces Birkhoff orthogonality is in general not symmetric (e.g., in ℝ2 with ||·||∞), and it is symmetric in a normed space of three or more dimension if and only if the norm is induced by an inner product.

Choose (x_{0}) in a normed space X.

Let be two compact sets in a normed space.

Let be compact sets in a normed space.