METRIC REGULARITY—A SURVEY PART II. APPLICATIONS
| Autor: | A. D. Ioffe |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
021103 operations research Transversality Implicit function General Mathematics 010102 general mathematics 0211 other engineering and technologies Sard's theorem 02 engineering and technology State (functional analysis) 01 natural sciences Implicit function theorem Algebra Metric (mathematics) 0101 mathematics Variational analysis Variety (universal algebra) Mathematics |
| Zdroj: | Journal of the Australian Mathematical Society. 101:376-417 |
| ISSN: | 1446-8107 1446-7887 |
| DOI: | 10.1017/s1446788715000695 |
| Popis: | Metric regularity theory lies in the very heart of variational analysis, a relatively new discipline whose appearance was, to a large extent, determined by the needs of modern optimization theory in which such phenomena as nondifferentiability and set-valued mappings naturally appear. The roots of the theory go back to such fundamental results of the classical analysis as the implicit function theorem, Sard theorem and some others. The paper offers a survey of the state of the art of some principal parts of the theory along with a variety of its applications in analysis and optimization. |
| Databáze: | OpenAIRE |
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