Properties of solutions of optimization problems for set functions
A definition of a special class of optimization problems with set functions is given. The existence of optimal solutions and first-order optimality conditions are proved. This case of optimal problems can be transformed to standard mixed problems of mathematical programming in Euclidean space. It ma...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005440 |
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| _version_ | 1832554202816053248 |
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| author | Slawomir Dorosiewicz |
| author_facet | Slawomir Dorosiewicz |
| author_sort | Slawomir Dorosiewicz |
| collection | DOAJ |
| description | A definition of a special class of optimization problems with set functions is given. The existence of optimal solutions and first-order optimality conditions are proved. This case of optimal problems can be transformed to standard mixed problems of mathematical programming in Euclidean space. It makes possible the applications of various algorithms for these optimization problems for finding conditional extrema of set functions. |
| format | Article |
| id | doaj-art-192276af191641fd8c2d047f401f1619 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-192276af191641fd8c2d047f401f16192025-02-03T05:52:06ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126739940810.1155/S0161171201005440Properties of solutions of optimization problems for set functionsSlawomir Dorosiewicz0Warsaw School of Economics, Warsaw, PolandA definition of a special class of optimization problems with set functions is given. The existence of optimal solutions and first-order optimality conditions are proved. This case of optimal problems can be transformed to standard mixed problems of mathematical programming in Euclidean space. It makes possible the applications of various algorithms for these optimization problems for finding conditional extrema of set functions.http://dx.doi.org/10.1155/S0161171201005440 |
| spellingShingle | Slawomir Dorosiewicz Properties of solutions of optimization problems for set functions International Journal of Mathematics and Mathematical Sciences |
| title | Properties of solutions of optimization problems for set functions |
| title_full | Properties of solutions of optimization problems for set functions |
| title_fullStr | Properties of solutions of optimization problems for set functions |
| title_full_unstemmed | Properties of solutions of optimization problems for set functions |
| title_short | Properties of solutions of optimization problems for set functions |
| title_sort | properties of solutions of optimization problems for set functions |
| url | http://dx.doi.org/10.1155/S0161171201005440 |
| work_keys_str_mv | AT slawomirdorosiewicz propertiesofsolutionsofoptimizationproblemsforsetfunctions |