A generalization of Ekeland's variational principle with applications
In this paper, we establish a variant of Ekeland's variational principle. This result suggest to introduce a generalization of the famous Palais-Smale condition. An example is provided showing how it is used to give the existence of minimizer for functions for which the Palais-Smale condition a...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Texas State University
2006-09-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/conf-proc/14/e3/abstr.html |
| _version_ | 1818581619486752768 |
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| author | Abdel R. El Amrouss Najib Tsouli |
| author_facet | Abdel R. El Amrouss Najib Tsouli |
| author_sort | Abdel R. El Amrouss |
| collection | DOAJ |
| description | In this paper, we establish a variant of Ekeland's variational principle. This result suggest to introduce a generalization of the famous Palais-Smale condition. An example is provided showing how it is used to give the existence of minimizer for functions for which the Palais-Smale condition and the one introduced by Cerami are not satisfied. |
| first_indexed | 2024-12-16T07:36:22Z |
| format | Article |
| id | doaj.art-561026abef1547819f8176f91755dba6 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-16T07:36:22Z |
| publishDate | 2006-09-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-561026abef1547819f8176f91755dba62022-12-21T22:39:13ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912006-09-01Conference14173180A generalization of Ekeland's variational principle with applicationsAbdel R. El AmroussNajib TsouliIn this paper, we establish a variant of Ekeland's variational principle. This result suggest to introduce a generalization of the famous Palais-Smale condition. An example is provided showing how it is used to give the existence of minimizer for functions for which the Palais-Smale condition and the one introduced by Cerami are not satisfied.http://ejde.math.txstate.edu/conf-proc/14/e3/abstr.htmlEkeland's principle variationalPalais-Smale conditionoptimization. |
| spellingShingle | Abdel R. El Amrouss Najib Tsouli A generalization of Ekeland's variational principle with applications Electronic Journal of Differential Equations Ekeland's principle variational Palais-Smale condition optimization. |
| title | A generalization of Ekeland's variational principle with applications |
| title_full | A generalization of Ekeland's variational principle with applications |
| title_fullStr | A generalization of Ekeland's variational principle with applications |
| title_full_unstemmed | A generalization of Ekeland's variational principle with applications |
| title_short | A generalization of Ekeland's variational principle with applications |
| title_sort | generalization of ekeland s variational principle with applications |
| topic | Ekeland's principle variational Palais-Smale condition optimization. |
| url | http://ejde.math.txstate.edu/conf-proc/14/e3/abstr.html |
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