The eclipsing concept to approximate a multi-valued mapping

DOI10.1080/02331939108843638zbMath0743.47039OpenAlexW2065424895MaRDI QIDQ3971357

Jochem Zowe, Claude Lemaréchal

Publication date: 25 June 1992

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939108843638

zbMATH Keywords

Hausdorff distanceconvex graphsdifferent possibilities to approximate multivalued mappingseclipsinglinearizing support functions

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Set-valued operators (47H04)

Related Items

Equations with delay in metric spaces: the mutational approach ⋮ A calculus for set-valued maps and set-valued evolution equations ⋮ On Fréchet differentiability of multifunctions ⋮ Fold-up derivatives of set-valued functions and the change-set problem: a survey ⋮ Representations of affine multifunctions by affine selections ⋮ Approximations, expansions and univalued representations of multifunctions ⋮ Differentiation of sets -- the general case ⋮ Differentiation of sets in measure ⋮ The 𝒰-Lagrangian of a convex function ⋮ A characterization of cone-convexity for set-valued functions by cone-quasiconvexity

Cites Work

• Approximation to a set-valued mapping. I: A proposal
• A differential calculus for multifunctions
• Differentiability of Relations and Differential Stability of Perturbed Optimization Problems
• On the differential properties of the support function of the∈-subdifferential of a convex function
• Convex Analysis