Sentence examples for mapping introduced in from inspiring English sources

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

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).

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

One common complaint about the maps introduced in Year 3 (Villa, Hereford Base, Fortress) was that they felt needlessly large.

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

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

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.

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.

Concretely, for one thing, from mappings, for example, the concept of a Kannan contraction mapping was introduced in 1969 by Kannan [2] as follows: A self-map T on a metric space (( X,d )) is called a Kannan contraction mapping if there exists (kin[0,frac{1}{2})) such that d ( Tx,Ty ) leq k bigl[ d ( x,Tx ) +d ( y,Ty ) bigr],quad forall x,yin X.