σ‐porosity in monotonic analysis with applications to optimization
Copyright policy )σ‐porosity in monotonic analysis with applications to optimization
We introduce and study some metric spaces of increasing positively homogeneous (IPH) functions, decreasing functions, and conormal (upward) sets. We prove that the complements of the subset of strictly increasing IPH functions, of the subset of strictly decreasing functions, and of the subset of strictly conormal sets are σ‐porous in corresponding spaces. Some applications to optimization are given.
Baire category, Baire spaces, Applications of functional analysis in optimization, convex analysis, mathematical programming, economics, QA1-939, Mathematics, Ordered normed spaces
Baire category, Baire spaces, Applications of functional analysis in optimization, convex analysis, mathematical programming, economics, QA1-939, Mathematics, Ordered normed spaces
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