The gap function for optimization problems in Banach spaces
In this paper some properties of the gap function for multiple-objective optimization problems in Banach spaces are established.
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| Vydané v: | Nonlinear analysis Ročník 69; číslo 2; s. 716 - 723 |
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| Médium: | Journal Article |
| Jazyk: | English |
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Amsterdam
Elsevier Ltd
15.07.2008
Elsevier |
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| ISSN: | 0362-546X, 1873-5215 |
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| Abstract | In this paper some properties of the gap function for multiple-objective optimization problems in Banach spaces are established. |
|---|---|
| AbstractList | In this paper some properties of the gap function for multiple-objective optimization problems in Banach spaces are established. |
| Author | Soleimani-damaneh, M. |
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| Cites_doi | 10.1016/0022-247X(81)90123-2 10.1016/S0377-2217(97)00300-7 10.1080/02331939208843857 10.1016/j.na.2004.11.005 10.1016/j.jmaa.2005.01.070 10.1016/j.na.2006.06.038 10.1023/B:JOGO.0000047911.03061.88 10.1016/0167-6377(82)90049-9 10.1023/A:1008321026317 10.1016/j.camwa.2003.05.013 10.1016/j.na.2005.07.030 10.1007/BF00935364 10.1017/S0334270000005142 10.1016/j.jmaa.2006.06.093 10.1023/A:1021769232224 10.1017/S0004972700004895 10.1006/jmaa.1995.1057 |
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| Keywords | Gap function Clarke’s gradient Multiple-objective optimization Variational inequality Preinvexity Gap problem Nonlinear analysis Optimization method Clarke's gradient Banach space Mathematical model |
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| SubjectTerms | Calculus of variations and optimal control Clarke’s gradient Exact sciences and technology Functional analysis Gap function Global analysis, analysis on manifolds Mathematical analysis Mathematics Multiple-objective optimization Numerical analysis Numerical analysis. Scientific computation Numerical methods in mathematical programming, optimization and calculus of variations Numerical methods in optimization and calculus of variations Preinvexity Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds Variational inequality |
| Title | The gap function for optimization problems in Banach spaces |
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