Pareto optimal allocations of nonconvex economies in locally convex spaces
Non-Linear Analysis
Nonsmooth analysis and control theory
Nonsmooth analysis and control theory
First-order rules for nonsmooth constrained optimization
Nonlinear Analysis: Theory, Methods & Applications
Variational pairs and applications to stability in nonsmooth analysis
Nonlinear Analysis: Theory, Methods & Applications
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Nonsmooth analysis and exact penalty methods give much prominence to functions that exit from certain lower-level sets with positive upward slope. A novel, weak version of such slopes is formalized here and studied in terms of differential properties. Applied to inf-convolutions, those properties help to recover and extend recent results on nonconvex separation, cooperative production (or market) games, and welfare economics.