The book reviews the fundamentals of convexity, then describes the topologies on spaces of closed subsets of a metric space. This is then applied to abstract optimization, especially form the point of view of stability of the basic data of minimum problems, both without and with constraints. It also contain a good number of exercises.

Convexity and well posed problems

LUCCHETTI, ROBERTO
2006-01-01

Abstract

The book reviews the fundamentals of convexity, then describes the topologies on spaces of closed subsets of a metric space. This is then applied to abstract optimization, especially form the point of view of stability of the basic data of minimum problems, both without and with constraints. It also contain a good number of exercises.
2006
Springer
0387287191
convexity; well posed problems; set convergence; functional analysis; separation theorems
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/505653
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