Nonsmooth analysis and optimization on partially ordered vector spaces
Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector lattice. Sample applications to the theory of...
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000085 |
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| _version_ | 1832549810473795584 |
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| author | Thomas W. Reiland |
| author_facet | Thomas W. Reiland |
| author_sort | Thomas W. Reiland |
| collection | DOAJ |
| description | Interval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector lattice. Sample applications to the theory of nonsmooth optimization are given. |
| format | Article |
| id | doaj-art-9ca5c695c944453a902ea4b87f97f389 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-9ca5c695c944453a902ea4b87f97f3892025-02-03T06:08:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-01151658110.1155/S0161171292000085Nonsmooth analysis and optimization on partially ordered vector spacesThomas W. Reiland0Department of Statistics and Graduate Program in Operations Research, Box 8203, North Carolina State University, Raleigh 27695-8203, NC, USAInterval-Lipschitz mappings between topological vector spaces are defined and compared with other Lipschitz-type operators. A theory of generalized gradients is presented when both spaces are locally convex and the range space is an order complete vector lattice. Sample applications to the theory of nonsmooth optimization are given.http://dx.doi.org/10.1155/S0161171292000085interval-Lipschitz mappingsubdifferentialoptimality conditions. |
| spellingShingle | Thomas W. Reiland Nonsmooth analysis and optimization on partially ordered vector spaces International Journal of Mathematics and Mathematical Sciences interval-Lipschitz mapping subdifferential optimality conditions. |
| title | Nonsmooth analysis and optimization on partially ordered vector spaces |
| title_full | Nonsmooth analysis and optimization on partially ordered vector spaces |
| title_fullStr | Nonsmooth analysis and optimization on partially ordered vector spaces |
| title_full_unstemmed | Nonsmooth analysis and optimization on partially ordered vector spaces |
| title_short | Nonsmooth analysis and optimization on partially ordered vector spaces |
| title_sort | nonsmooth analysis and optimization on partially ordered vector spaces |
| topic | interval-Lipschitz mapping subdifferential optimality conditions. |
| url | http://dx.doi.org/10.1155/S0161171292000085 |
| work_keys_str_mv | AT thomaswreiland nonsmoothanalysisandoptimizationonpartiallyorderedvectorspaces |