Youness [ J. Optim. Theory Appl., 102(3)(1999) ] introduced the class of sets called E-convex sets to study the optimality results for certain non linear programming problems. Following this Suneja et al. [ International J. Management and Systems, 18(2)(2002)] studied E-convex functions...
Geometric properties of some totally ordered compact sets.Mohammad DaherKhalil Saadi
First he proves that, given two compact sets E 1 and E 2 in n and two strongly non-quasianalytic Whitney jets F 1 and F 2 defined on E 1 and E 2 , respectively, that coincide on E 1 ∩E 2 , there exists a simultaneous strongly non-quasianalytic extension of both F j to n ...
If the entire body of a getter is a single expression, the getter implicitly returns that expression. Here’s another version of theRectstructure that takes advantage of this shorthand notation and the shorthand notation for setters: structCompactRect{varorigin=Point()varsize=Size()varcenter:Point...
Recently, the conformable derivative and its properties have been introduced. In this work we have investigated in more detail some new properties of this derivative and we have proved some useful related theorems. Also, some new definitions have been in
compact subsetsclosed conespointed conesconvex cones/ B0250 Combinatorial mathematics B0260 Optimisation techniques C1160 Combinatorial mathematics C1180 Optimisation techniquesThis paper contains new properties of the corresponding efficient (Pareto) points sets for non-empty (compact) subsets in separated ...
[43]J. Tomiyama, Tensor products and projections of norm one in von Neumann algebras, Seminar Notes, University of Copenhagen, 1970.Search in Google Scholar [44]D. P. Williams, Crossed Products ofC∗C*-Algebras, Math. Surveys Monogr. 134, American Mathematical Society, Providence, 2007.Sear...
We conclude that—in contrast to compact samples—the magnetization in foams is only little affected by compression, which mainly leads to partial void closure and bending of the ligaments. On the other hand, magnetization is based on the (less affected) material in the ligaments. It may be ...
Compactness, Contractibility and Fixed Point Properties of the Pareto Sets in Multi-Objective ProgrammingMulti-Objective ProgrammingPareto-OptimalPareto-FrontCompactContractibleFixed PointRetractionThis paper presents the Pareto solutions in continuous multi-objective mathematical programming. We discuss the role ...
Local scaling of a set means that in a neighborhood of a point the structure of the set can be mapped into a finer scale structure of the set. These scaling transformations are compact sets of locally affine (that is: with uniformly $\\alpha$-H\"older continuous derivatives) contractions....