Quasi-convexity, strictly quasi-convexity and pseudo-convexity of composite objective functions
Bernard Bereanu (1972)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Displaying similar documents to “On co-ordinated quasi-convex functions”
Quasi-convexity, strictly quasi-convexity and pseudo-convexity of composite objective functions
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Cardinality of some convex sets and of their sets of extreme points
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We show that the cardinality of a compact convex set W in a topological linear space X satisfies the condition that . We also establish some relations between the cardinality of W and that of extrW provided X is locally convex. Moreover, we deal with the cardinality of the convex set E(μ) of all quasi-measure extensions of a quasi-measure μ, defined on an algebra of sets, to a larger algebra of sets, and relate it to the cardinality of extrE(μ).