Necessary and sufficient optimality conditions for fractional interval-valued variational problems
In this paper a special kind of variational programming problem involving fractional interval-valued objective function is considered. For such type of problem, insights into LU optimal solutions have been discussed. Using the LU optimal concept, we established optimality conditions for the consider...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Belgrade
2023-01-01
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| Series: | Yugoslav Journal of Operations Research |
| Subjects: | |
| Online Access: | https://doiserbia.nb.rs/img/doi/0354-0243/2023/0354-02432200028R.pdf |
| _version_ | 1797807545543294976 |
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| author | Rayanki Vivekananda Kummari Krishna |
| author_facet | Rayanki Vivekananda Kummari Krishna |
| author_sort | Rayanki Vivekananda |
| collection | DOAJ |
| description | In this paper a special kind of variational programming problem involving fractional interval-valued objective function is considered. For such type of problem, insights into LU optimal solutions have been discussed. Using the LU optimal concept, we established optimality conditions for the considered problem. Further, We formulated a Mond-Weir dual problem and discussed appropriate duality theorems for the relationship between dual and primal problems. |
| first_indexed | 2024-03-13T06:24:11Z |
| format | Article |
| id | doaj.art-d4ad6ed2a8064b96baecb6d5ae7bbd91 |
| institution | Directory Open Access Journal |
| issn | 0354-0243 1820-743X |
| language | English |
| last_indexed | 2024-03-13T06:24:11Z |
| publishDate | 2023-01-01 |
| publisher | University of Belgrade |
| record_format | Article |
| series | Yugoslav Journal of Operations Research |
| spelling | doaj.art-d4ad6ed2a8064b96baecb6d5ae7bbd912023-06-09T10:45:23ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2023-01-0133219923110.2298/YJOR210815028R0354-02432200028RNecessary and sufficient optimality conditions for fractional interval-valued variational problemsRayanki Vivekananda0Kummari Krishna1Department of Mathematics, School of Science, GITAM-Hyderabad Campus, Hyderabad, India + Department of Mathematics, ACE Engineering College, Hyderabad, IndiaDepartment of Mathematics, School of Science, GITAM-Hyderabad Campus, Hyderabad, IndiaIn this paper a special kind of variational programming problem involving fractional interval-valued objective function is considered. For such type of problem, insights into LU optimal solutions have been discussed. Using the LU optimal concept, we established optimality conditions for the considered problem. Further, We formulated a Mond-Weir dual problem and discussed appropriate duality theorems for the relationship between dual and primal problems.https://doiserbia.nb.rs/img/doi/0354-0243/2023/0354-02432200028R.pdfvariational programming probleminterval-valued programming problemlu optimal solutionoptimalityduality |
| spellingShingle | Rayanki Vivekananda Kummari Krishna Necessary and sufficient optimality conditions for fractional interval-valued variational problems Yugoslav Journal of Operations Research variational programming problem interval-valued programming problem lu optimal solution optimality duality |
| title | Necessary and sufficient optimality conditions for fractional interval-valued variational problems |
| title_full | Necessary and sufficient optimality conditions for fractional interval-valued variational problems |
| title_fullStr | Necessary and sufficient optimality conditions for fractional interval-valued variational problems |
| title_full_unstemmed | Necessary and sufficient optimality conditions for fractional interval-valued variational problems |
| title_short | Necessary and sufficient optimality conditions for fractional interval-valued variational problems |
| title_sort | necessary and sufficient optimality conditions for fractional interval valued variational problems |
| topic | variational programming problem interval-valued programming problem lu optimal solution optimality duality |
| url | https://doiserbia.nb.rs/img/doi/0354-0243/2023/0354-02432200028R.pdf |
| work_keys_str_mv | AT rayankivivekananda necessaryandsufficientoptimalityconditionsforfractionalintervalvaluedvariationalproblems AT kummarikrishna necessaryandsufficientoptimalityconditionsforfractionalintervalvaluedvariationalproblems |