Partially monotone operators and the generic differentiability of convex-concave and biconvex mappings
Copyright policy )Partially monotone operators and the generic differentiability of convex-concave and biconvex mappings
By studying partially monotone operators, we are able to show among other results that convex-concave and biconvex mappings defined on Asplund spaces or dually strictly convex spaces are respectively generically Fréchet or Gâteaux differentiable.
- Dalhousie University Canada
- University of Newcastle Australia Australia
Banach lattices, Derivatives of functions in infinite-dimensional spaces, generically Fréchet or Gâteaux differentiable, Asplund spaces, Convex sets in topological linear spaces; Choquet theory, dually strictly convex spaces, convex-concave and biconvex mappings, partially monotone operators, convex operators, monotone operators, differentiability
Banach lattices, Derivatives of functions in infinite-dimensional spaces, generically Fréchet or Gâteaux differentiable, Asplund spaces, Convex sets in topological linear spaces; Choquet theory, dually strictly convex spaces, convex-concave and biconvex mappings, partially monotone operators, convex operators, monotone operators, differentiability
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