Sentence examples for mapping introduced by from inspiring English sources

Hence each -mapping (resp., -majorant mapping) introduced by Deguire et al. (see [2, page 934]) must be a generalized -mapping (resp., -majorant mapping).

We shall characterize the notion of α-ψ-contractive mapping, introduced by Samet et al. [1], in the context of uniform space as follows.

Mursaleen et al. [20] reconsidered the notion of an α-admissible mapping, introduced by Samet et al. [8], in the following way: Definition 1.10 (See [20]).

Based on the definition of fuzzy contractive mapping introduced by Mihet [9], Abbas et al. [11] proposed the notion of φ-weak contraction and obtained several results of fixed point in a G-complete metric space.

But if X = Y = Z = E = F and G ( u ) = { u } for all u ∈ F, then both ζ G and ξ G reduce simultaneously to the nonlinear scalarization function of a single-valued mapping introduced by Chen and Yang [55].

The generalized projection mapping, introduced by Alber [7], is a mapping Π C : E → C that assigns to an arbitrary point x ∈ E the minimum point of the functional ϕ ( y, x ), that is, Π C x = x ¯, where is x ¯ is the solution to the minimization problem ϕ ( x ¯, x ) = inf y ∈ C ϕ ( y, x ).

In this article, by using the concept of W-mapping introduced by Atsushiba and Takahashi and K-mapping introduced by Kangtunyakarn and Suantai, we define W(T,N -iteration and K(T,N -iteration for finding andixed point of continuous mappings on an arbitrary interval.

The results of this analysis are summarized in maps, here called contact fatigue maps, similar to the so-called shakedown maps introduced by Johnson, but drawn to provide fatigue limits.

We use the fixed point index for weakly inward A-proper maps introduced by Lan and Webb [2] to obtain our new result.

Section 4 is devoted to extending the resultant mean-map, introduced by the second author in an earlier paper for means, to positive maps in the aim to state conveniently the generalized stabilizability in Section 5.

The spatial map introduced by Kashihara et al. (2002) in their navigation planning system visualized all the web pages contained in one website in the form of nodes labeled with the titles.