Generic well-posedness in minimization problems
The goal of this paper is to provide an overview of results concerning, roughly speaking, the following issue: given a (topologized) class of minimum problems, “how many” of them are well-posed? We will consider several ways to define the concept of “how many,” and also several types of well-posedne...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2005-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA.2005.343 |
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| Summary: | The goal of this paper is to provide an overview of results
concerning, roughly speaking, the following issue: given a
(topologized) class of minimum problems, “how many” of them are
well-posed? We will consider several ways to define the concept of
“how many,” and also several types of well-posedness concepts.
We will concentrate our attention on results related to uniform
convergence on bounded sets, or similar convergence notions, as
far as the topology on the class of functions under investigation
is concerned. |
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| ISSN: | 1085-3375 1687-0409 |