On optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints
The aim of this paper is to investigate the optimality conditions for a class of nonsmooth multiobjective fractional optimization problems subject to vanishing constraints. In particular, necessary and sufficient conditions for (weak) Pareto solution are presented in terms of the Clark subdifferenti...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-08-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024235 |
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| author | Haijun Wang Gege Kang Ruifang Zhang |
| author_facet | Haijun Wang Gege Kang Ruifang Zhang |
| author_sort | Haijun Wang |
| collection | DOAJ |
| description | The aim of this paper is to investigate the optimality conditions for a class of nonsmooth multiobjective fractional optimization problems subject to vanishing constraints. In particular, necessary and sufficient conditions for (weak) Pareto solution are presented in terms of the Clark subdifferential. Furthermore, we construct Wolfe and Mond–Weir-type dual models and derive some duality theorems by using generalized quasiconvexity assumptions. Some examples to show the validity of our conclusions are provided. |
| format | Article |
| id | doaj-art-38fa6267a13341268ab21bc21141be16 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-38fa6267a13341268ab21bc21141be162025-01-23T07:51:27ZengAIMS PressElectronic Research Archive2688-15942024-08-013285109512610.3934/era.2024235On optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraintsHaijun Wang0Gege Kang1Ruifang Zhang2School of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, ChinaSchool of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, ChinaSchool of Mathematics and Statistics, Taiyuan Normal University, Jinzhong 030619, ChinaThe aim of this paper is to investigate the optimality conditions for a class of nonsmooth multiobjective fractional optimization problems subject to vanishing constraints. In particular, necessary and sufficient conditions for (weak) Pareto solution are presented in terms of the Clark subdifferential. Furthermore, we construct Wolfe and Mond–Weir-type dual models and derive some duality theorems by using generalized quasiconvexity assumptions. Some examples to show the validity of our conclusions are provided.https://www.aimspress.com/article/doi/10.3934/era.2024235multiobjective fractional optimizationvanishing constraintlocally lipschitz functionduality theorems |
| spellingShingle | Haijun Wang Gege Kang Ruifang Zhang On optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints Electronic Research Archive multiobjective fractional optimization vanishing constraint locally lipschitz function duality theorems |
| title | On optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints |
| title_full | On optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints |
| title_fullStr | On optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints |
| title_full_unstemmed | On optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints |
| title_short | On optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints |
| title_sort | on optimality conditions and duality for multiobjective fractional optimization problem with vanishing constraints |
| topic | multiobjective fractional optimization vanishing constraint locally lipschitz function duality theorems |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024235 |
| work_keys_str_mv | AT haijunwang onoptimalityconditionsanddualityformultiobjectivefractionaloptimizationproblemwithvanishingconstraints AT gegekang onoptimalityconditionsanddualityformultiobjectivefractionaloptimizationproblemwithvanishingconstraints AT ruifangzhang onoptimalityconditionsanddualityformultiobjectivefractionaloptimizationproblemwithvanishingconstraints |