Continuous time non-smooth optimization through quasi efficiency
The importance of quasi efficiency lies in its versatile nature as it permits a definite tolerable error that depend on the decision variables. This has been a motivating factor for us to introduce the notion of quasi efficient solution for the non-smooth multiobjective continuous time programming p...
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| Published in: | Control and cybernetics Vol. 52; no. 3; pp. 251 - 267 |
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| Main Authors: | , |
| Format: | Journal Article |
| Language: | English |
| Published: |
Warsaw
Instytut Badan Systemowych Polskiej Akademii Nauk
01.09.2023
De Gruyter Brill Sp. z o.o., Paradigm Publishing Services |
| ISSN: | 0324-8569, 2720-4278 |
| Online Access: | Get full text |
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| Summary: | The importance of quasi efficiency lies in its versatile nature as it permits a definite tolerable error that depend on the decision variables. This has been a motivating factor for us to introduce the notion of quasi efficient solution for the non-smooth multiobjective continuous time programming problem. Necessary optimality conditions are derived for this problem. To derive sufficient optimality conditions, the concept of approximate convexity has been extended to continuous case in this paper. A mixed dual is proposed for which weak and strong duality results are proved. |
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| Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| ISSN: | 0324-8569 2720-4278 |
| DOI: | 10.2478/candc-2023-0038 |