Sentence examples for set of common points from inspiring English sources

The transformation parameters are estimated using coordinate determinations of a set of common points in both frames.

That set of common points (S_{R,c}) provides an excellent opportunity to reuse in constructing the diverse set (S_c) and is simply defined as follows: Reusable diverse results, (S_{R,c}), such that (S_{R,c} subseteq S_{O,c}) and contains all diverse results in (S_{O,c}) that fall in the range of (Q_c) (i.e. (S_{O,c} cap X_c)).

The set of common fixed points (respectively, coincidence points) of the pair ( S, T ) is denoted by F ( S, T ) (respectively, C ( S, T ) ).

Then ℱ has a common fixed point and the set of common fixed points isρ-closed and convex.

Conversely, if T and S have only one common fixed point then the set of common fixed points of T and S, being a singleton, is well ordered.

Conversely, if f, g, h, R, S, and T have only one common fixed point then, clearly, the set of common fixed points of f, g, h, R, S, and T is well ordered.

We use the notation F ( T ) for the set of fixed points of the mapping T, while F ( f, T ) denotes the set of common fixed points of f and T, i.e., a point x is said to be a common fixed point of f and T if f x = x ∈ T x.

Then, the family T has a common fixed point if it is the fixed point of each member of T. The set of common fixed points is denoted by F i x ( T ).

The purpose of this paper is to consider a shrinking projection method for finding the common element of the set of common fixed points for nonexpansive semigroups, the set of common fixed points for an infinite family of a -strict pseudocontraction, the set of solutions of a system of mixed equilibrium problems, and the set of solutions of the variational inclusion problem.

For a given countable family of relatively nonexpansive mappings, is there a single strongly relatively nonexpansive mapping such that its fixed-point set is identical to the set of common fixed points of the family?

We use the notation standing for the set of fixed points of a mapping and standing for the set of common fixed points of and.