On Isolated/Properly Efficient Solutions in Nonsmooth Robust Semi-infinite Multiobjective Optimization
In this paper, we deal with nonsmooth robust semi-infinite multiobjective optimization problems. Both necessary and sufficient optimality conditions are established. We also investigate Mond–Weir-type dual problems under assumptions of generalized convexity. Applications to nonsmooth robust fraction...
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| Veröffentlicht in: | Bulletin of the Malaysian Mathematical Sciences Society 2023-03, Vol.46 (2), Article 73 |
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| container_title | Bulletin of the Malaysian Mathematical Sciences Society |
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| creator | Pham, Thanh-Hung |
| description | In this paper, we deal with nonsmooth robust semi-infinite multiobjective optimization problems. Both necessary and sufficient optimality conditions are established. We also investigate Mond–Weir-type dual problems under assumptions of generalized convexity. Applications to nonsmooth robust fractional semi-infinite multiobjective optimization problems and nonsmooth robust semi-infinite minimax optimization problems are also provided. Some remarks and examples are provided to illustrate our results. |
| doi_str_mv | 10.1007/s40840-023-01466-6 |
| format | Article |
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| ispartof | Bulletin of the Malaysian Mathematical Sciences Society, 2023-03, Vol.46 (2), Article 73 |
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| subjects | Applications of Mathematics Convexity Mathematics Mathematics and Statistics Minimax technique Multiple objective analysis Optimization Robustness |
| title | On Isolated/Properly Efficient Solutions in Nonsmooth Robust Semi-infinite Multiobjective Optimization |
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