Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals
In this paper, we introduce necessary and sufficient efficiency conditions associated with a class of multiobjective fractional variational control problems governed by geodesic quasiinvex multiple integral functionals and mixed constraints containing m-flow type PDEs. Using the new notion of ( norm...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2021-09-01
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| Series: | Archives of Control Sciences |
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| Online Access: | https://journals.pan.pl/Content/120829/art09.pdf |
| _version_ | 1811294806079438848 |
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| author | Savin Treanţă Ştefan Mititelu |
| author_facet | Savin Treanţă Ştefan Mititelu |
| author_sort | Savin Treanţă |
| collection | DOAJ |
| description | In this paper, we introduce necessary and sufficient efficiency conditions associated with a class of multiobjective fractional variational control problems governed by geodesic quasiinvex multiple integral functionals and mixed constraints containing m-flow type PDEs. Using the new notion of ( normal) geodesic efficient solution, under ( p; b)-geodesic quasiinvexity assumptions, we establish sufficient efficiency conditions for a feasible solution. |
| first_indexed | 2024-04-13T05:23:32Z |
| format | Article |
| id | doaj.art-8bbdded6fa554260ba170c0a5fbc4c32 |
| institution | Directory Open Access Journal |
| issn | 1230-2384 |
| language | English |
| last_indexed | 2024-04-13T05:23:32Z |
| publishDate | 2021-09-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archives of Control Sciences |
| spelling | doaj.art-8bbdded6fa554260ba170c0a5fbc4c322022-12-22T03:00:40ZengPolish Academy of SciencesArchives of Control Sciences1230-23842021-09-01687706https://doi.org/10.24425/acs.2021.138697Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionalsSavin Treanţă0Ştefan Mititelu1University “Politehnica”of Bucharest, Faculty of Applied Sciences, Department of Applied Mathematics, 313 Splaiul Independentei, 060042 – Bucharest, RomaniaTechnical University of Civil Engineering, Department of Mathematics and Informatics, 124 Lacul Tei, 020396 – Bucharest, RomaniaIn this paper, we introduce necessary and sufficient efficiency conditions associated with a class of multiobjective fractional variational control problems governed by geodesic quasiinvex multiple integral functionals and mixed constraints containing m-flow type PDEs. Using the new notion of ( normal) geodesic efficient solution, under ( p; b)-geodesic quasiinvexity assumptions, we establish sufficient efficiency conditions for a feasible solution.https://journals.pan.pl/Content/120829/art09.pdfmultiobjective fractional control problemgeodesic efficient solution(p; b)-geodesic quasiinvexity |
| spellingShingle | Savin Treanţă Ştefan Mititelu Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals Archives of Control Sciences multiobjective fractional control problem geodesic efficient solution (p; b)-geodesic quasiinvexity |
| title | Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals |
| title_full | Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals |
| title_fullStr | Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals |
| title_full_unstemmed | Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals |
| title_short | Efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals |
| title_sort | efficiency in vector ratio variational control problems involving geodesic quasiinvex multiple integral functionals |
| topic | multiobjective fractional control problem geodesic efficient solution (p; b)-geodesic quasiinvexity |
| url | https://journals.pan.pl/Content/120829/art09.pdf |
| work_keys_str_mv | AT savintreanta efficiencyinvectorratiovariationalcontrolproblemsinvolvinggeodesicquasiinvexmultipleintegralfunctionals AT stefanmititelu efficiencyinvectorratiovariationalcontrolproblemsinvolvinggeodesicquasiinvexmultipleintegralfunctionals |