Sentence examples for mapping we establish from inspiring English sources

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Then, by proving the strong Gâteaux differentiability of nonlinear solution mapping we establish necessary optimality condition for the optimal control corresponding to the quadratic cost.

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With the simplified vector maps, we establish different levels of detail (LOD) models of these maps.

Through the connectivity map we established the connections between the studied variables and the condition of being MDS or control mother.

Through the connectivity map we established that IGF-II concentration in placental lysates was directly connected with the condition of FGR besides IL-6 and IGFBP-2 concentrations in lysates, and its corresponding mRNA.

In this paper, we introduce the notion of an almost generalized s -contractive mapping and we establish some results in complete ordered b-metric spaces, where ψ and φ are altering distance functions.

In this article, we introduce the notion of almost generalized -contractive mapping and we establish some results in complete ordered metric spaces, where ψ and ϕ are altering distance functions.

In this paper, we introduce a new type of contractive maps and we establish a new fixed-point theorem for such maps on the setting of generalized metric spaces.

Using the concept of a D-admissible mapping, we can establish the fixed point result for Ćirić quasi-contraction mappings in a different way.

Here, (T inmathcal{F}_{1} overline{G})) is called an essential inner map to F. First, we establish the relationship between operators satisfying ((S_)_{T}) and ((QM _{T}).

Utilizing the technique of the modulus of convexity and a new demiclosed principle for nonself-maps of Kazor [24], we establish the weak convergence theorem of the three-step iterative scheme in a uniformly convex Banach space that satisfies Opial's condition or whose dual space has the Kadec-Klee property, which extends and improves the recently announced ones in [4, 16, 18 20].

In the present paper we investigate the general solution of the functional equation (1.6) when is a mapping between vector spaces, and we establish the generalized Hyers-Ulam stability of this functional equation whenever is a mapping between two quasi-Banach spaces.

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