Some vector optimization problems in Banach spaces with generalized convexity
In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. New classes of generalized type-I functions are introduced for functions between Banach spaces. Based upon these generalized type-I functions, we obtain a few sufficient optimality con...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) Jg. 54; H. 11; S. 1403 - 1410 |
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| Sprache: | Englisch |
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01.12.2007
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| Abstract | In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. New classes of generalized type-I functions are introduced for functions between Banach spaces. Based upon these generalized type-I functions, we obtain a few sufficient optimality conditions and prove some results on duality. |
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| AbstractList | In this paper, we consider a vector optimization problem where all functions involved are defined on Banach spaces. New classes of generalized type-I functions are introduced for functions between Banach spaces. Based upon these generalized type-I functions, we obtain a few sufficient optimality conditions and prove some results on duality. |
| Author | Liu, Sanyang Yu, Guolin |
| Author_xml | – sequence: 1 givenname: Guolin surname: Yu fullname: Yu, Guolin email: guolin_yu@126.com organization: Department of Applied Mathematics, Xidian University, Xi’an, PR China – sequence: 2 givenname: Sanyang surname: Liu fullname: Liu, Sanyang email: liusanyang@263.net organization: Department of Applied Mathematics, Xidian University, Xi’an, PR China |
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| Cites_doi | 10.1080/01630569608816697 10.1007/BF02207775 10.1016/j.camwa.2003.05.013 10.1006/jmaa.1999.6284 10.1016/j.jmaa.2005.02.064 10.1016/j.jmaa.2003.12.042 10.1023/A:1022628130448 10.1006/jmaa.1997.5238 10.1016/j.jmaa.2005.04.067 10.1023/A:1021769232224 10.1007/BF02591683 10.1016/0022-247X(88)90313-7 10.1007/BF00935364 10.1016/j.camwa.2006.08.006 10.1080/02331939208843857 |
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| Issue | 11 |
| Keywords | Optimality conditions Duality Type-I functions Vector optimization Generalized convexity |
| Language | English |
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| SubjectTerms | Banach space Convexity Duality Generalized convexity Mathematical analysis Mathematical models Optimality conditions Optimization Type-I functions Vector optimization Vectors (mathematics) |
| Title | Some vector optimization problems in Banach spaces with generalized convexity |
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