Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems
A nondifferentiable multiobjective optimization problem with nonempty set constraints is considered, and the equivalence of weakly efficient solutions, the critical points for the nondifferentiable multiobjective optimization problems, and solutions for vector variational-like inequalities is establ...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2011/647489 |
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| _version_ | 1832553404778414080 |
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| author | Xin-kun Wu Jia-wei Chen Yun-zhi Zou |
| author_facet | Xin-kun Wu Jia-wei Chen Yun-zhi Zou |
| author_sort | Xin-kun Wu |
| collection | DOAJ |
| description | A nondifferentiable multiobjective optimization problem with nonempty set constraints is considered, and the equivalence of weakly efficient solutions, the critical points for the nondifferentiable multiobjective optimization problems, and solutions for vector variational-like inequalities is established under some suitable conditions. Nonemptiness and compactness of the solutions set for the nondifferentiable multiobjective optimization problems are proved by using the FKKM theorem and a fixed-point theorem. |
| format | Article |
| id | doaj-art-74645cceb17d4aa0a02e34495201a8dd |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-74645cceb17d4aa0a02e34495201a8dd2025-02-03T05:54:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422011-01-01201110.1155/2011/647489647489Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization ProblemsXin-kun Wu0Jia-wei Chen1Yun-zhi Zou2College of Mathematics, Sichuan University, Chengdu, Sichuan 610064, ChinaSchool of Mathematics and Statistics, Wuhan University, Wuhan, Hubei 430072, ChinaCollege of Mathematics, Sichuan University, Chengdu, Sichuan 610064, ChinaA nondifferentiable multiobjective optimization problem with nonempty set constraints is considered, and the equivalence of weakly efficient solutions, the critical points for the nondifferentiable multiobjective optimization problems, and solutions for vector variational-like inequalities is established under some suitable conditions. Nonemptiness and compactness of the solutions set for the nondifferentiable multiobjective optimization problems are proved by using the FKKM theorem and a fixed-point theorem.http://dx.doi.org/10.1155/2011/647489 |
| spellingShingle | Xin-kun Wu Jia-wei Chen Yun-zhi Zou Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems Journal of Applied Mathematics |
| title | Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems |
| title_full | Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems |
| title_fullStr | Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems |
| title_full_unstemmed | Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems |
| title_short | Nonemptiness and Compactness of Solutions Set for Nondifferentiable Multiobjective Optimization Problems |
| title_sort | nonemptiness and compactness of solutions set for nondifferentiable multiobjective optimization problems |
| url | http://dx.doi.org/10.1155/2011/647489 |
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