Search results for "Strictly convex space"

showing 6 items of 6 documents

Sets of Efficiency in a Normed Space and Inner Product

1987

In a normed space X the distances to the points of a given set A being considered as the objective functions of a multicriteria optimization problem, we define four sets of efficiency (efficient, strictly efficient, weakly efficient and properly efficient points). Instead of studying properties of the sets of efficiency according to properties of the norm, we investigate an inverse problem: deduce properties of the norm of X from properties of the sets of efficiency, valid for every finite subset A of X.

Discrete mathematicsStrictly convex spaceConvex hullInner product spaceProduct (mathematics)Product topologyInverse problemMulti-objective optimizationNormed vector spaceMathematics
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Strictly convex metric spaces with round balls and fixed points

2005

Convex hullConvex analysisStrictly convex spaceCombinatoricsInjective metric spaceMathematical analysisConvex setConvex bodyConvex combinationConvex metric spaceMathematicsBanach Center Publications
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Normed vector spaces consisting of classes of convex sets

1965

CombinatoricsStrictly convex spaceConvex analysisGeneral MathematicsLocally convex topological vector spaceUniformly convex spaceAbsolutely convex setReflexive spaceTopologyMathematicsDual pairNormed vector spaceMathematische Zeitschrift
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Constrained and unconstrained problems in location theory and inner products

1997

In a real normed space X the optimization problem associated to a finite subset and to a family of positive weights with the objective function [UM0001] has some well known properties when X is an ...

Strictly convex spaceEnergetic spaceMathematical optimizationInner product spaceControl and OptimizationOptimization problemSignal ProcessingApplied mathematicsLocation theoryAnalysisComputer Science ApplicationsNormed vector spaceMathematicsNumerical Functional Analysis and Optimization
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Transformations by diagonal matrices in a normed space

1962

Discrete mathematicsStrictly convex spaceComputational MathematicsNormed algebraBs spaceApplied MathematicsVanish at infinityPseudometric spaceContinuous functions on a compact Hausdorff spaceDual normMathematicsNormed vector spaceNumerische Mathematik
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A four vertex theorem for strictly convex space curves

1993

Convex analysisDiscrete mathematicsConvex hullConvex setSpace curfFour-vertex theoremVertex theoremKrein–Milman theoremConvex spaceStrictly convex spaceVertex (curve)Danskin's theoremGeometry and TopologyMathematics
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