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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| _version_ | 1832558018908127232 |
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| author | A. Ioffe R. E. Lucchetti |
| author_facet | A. Ioffe R. E. Lucchetti |
| author_sort | A. Ioffe |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-257fedfde2cc4b65a3870b21b4e13272 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2005-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-257fedfde2cc4b65a3870b21b4e132722025-02-03T01:33:26ZengWileyAbstract and Applied Analysis1085-33751687-04092005-01-012005434336010.1155/AAA.2005.343Generic well-posedness in minimization problemsA. Ioffe0R. E. Lucchetti1Department of Mathematics, Technion – Israel Institute of Technology, Haifa 32000, IsraelDipartimento di Matematica, Politecnico di Milano, Via Bonardi 7, Milano 20133, ItalyThe 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.http://dx.doi.org/10.1155/AAA.2005.343 |
| spellingShingle | A. Ioffe R. E. Lucchetti Generic well-posedness in minimization problems Abstract and Applied Analysis |
| title | Generic well-posedness in minimization problems |
| title_full | Generic well-posedness in minimization problems |
| title_fullStr | Generic well-posedness in minimization problems |
| title_full_unstemmed | Generic well-posedness in minimization problems |
| title_short | Generic well-posedness in minimization problems |
| title_sort | generic well posedness in minimization problems |
| url | http://dx.doi.org/10.1155/AAA.2005.343 |
| work_keys_str_mv | AT aioffe genericwellposednessinminimizationproblems AT relucchetti genericwellposednessinminimizationproblems |