Sentence examples for points of a self-map from inspiring English sources

Let denote the set of eventually periodic points of a self-map.

We denote by Fix ( f ) the set of all fixed points for a self-map f on X, and further by Φ the class of all nondecreasing functions φ from [ 0, + ∞ ) into [ 0, 1 ). Following Jachymski [2], we introduce ( p, φ ) - G -contractions on a uniform space endowed with an ℰ-distance and a graph.

The paper investigates, under two types of integral-type contractive conditions of self-maps of, the existence of fixed points of such a self-map in, provided that the intersection is nonempty.

The potential discontinuity points of such a self-map in a discrete subset are the so-called switching points at which a new primary self-map in a class is activated to construct the self-map of interest, each of those self-maps depends also on some given switching rule.

We denote by the set of fixed points of a self-mapping on, that is,.

Also, the existence of a nonempty fixed point set in a self-map of where is a complete metric space allows guaranteeing the -stability of iteration procedures [27].

In this direction, Dhage et al. [8] addressed a new category of fixed-point problems for a self-map with the help of ordered Banach spaces.

Browder and Petryshyn introduced the concept of asymptotic regularity of a self-map at a point in a metric space.

Browder and Petryshyn [3] introduced the concept of orbital continuity as well as of asymptotic regularity of a self-map at a point in a metric space.

Furthermore, we investigate the sufficient condition for the existence and uniqueness of a fixed point for a self-mapping on a metric space satisfying the generalized weak contractive condition.

A fixed point of a self-mapping (T:Xrightarrow X) is a point (xin X) such that (Tx=x).