Sentence examples for map introduced in from inspiring English sources

By virtue of the tangent derivative of a set-valued map introduced in [4], Sach and Craven [5] discussed Wolfe type duality and Mond-Weir type duality problems for a set-valued optimization problem.

By virtue of the codifferential of a set-valued map introduced in [6], Sach et al. [7] obtained Mond-Weir type and Wolfe type weak duality and strong duality theorems of set-valued optimization problems.

Now we will use the concept of an α-orbital attractive mapping introduced in [2].

This motivated the study of the notion of J-pseudocontractive maps introduced in this paper.

Some of the ideas that we present in this paper shed some light on the optimal momentum maps introduced in [J.-P.

Based on the concepts of supremum and conjugate and biconjugate maps introduced in [16], we obtain a full generalization of the theorem.

This strict limitation introduces the non-convex constraint (5e) to the optimization problem in (5), which motivates the relaxation (8) and the heuristic mapping introduced in Algorithm 1 (Fig. 2).

Tanino [5] obtained some results concerning sensitivity analysis in vector optimization by using the concept of contingent derivatives of set-valued maps introduced in [17], and Shi [8] and Kuk et al. [7, 11] extended some of Tanino's results.

Based on the concept of conjugate and biconjugate maps introduced in (Tan and Tinh in Acta Math. Viet. 25 315-345, 2000) we establish a full generalization of the Fenchel-Moreau theorem for the vector case.

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.

Mercator projection, type of map projection introduced in 1569 by Gerardus Mercator.