Nonlinear programming with E-preinvex and local E-preinvex functions
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| Title: | Nonlinear programming with E-preinvex and local E-preinvex functions |
|---|---|
| Authors: | Fulga, C.1 reda@fmi.unibuc.ro, Preda, V.2 |
| Source: | European Journal of Operational Research. Feb2009, Vol. 192 Issue 3, p737-743. 7p. |
| Subjects: | Nonlinear programming, Mathematical functions, Convex functions, Set theory, Mathematical programming, Dynamic programming |
| Abstract: | In this paper, we extend the class of E-convex sets, E-convex and E-quasiconvex functions introduced by [Youness, E.A., 1999. E-convex sets, E-convex functions and E-convex programming. Journal of Optimization Theory and Applications 102, 439–450], respectively by [Syau, Yu-Ru, Lee, E. Stanley, 2005. Some properties of E-convex functions. Applied Mathematics Letters 18, 1074–1080] to E-invex set, E-preinvex, E-prequasiinvex and corresponding local concepts. Some properties of these classes are studied. As an application of our results, we consider the nonlinear programming problem for which, we establish that, under mild conditions, a local minimum is a global minimum. [Copyright &y& Elsevier] |
| Copyright of European Journal of Operational Research is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 34439312 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Nonlinear programming with E-preinvex and local E-preinvex functions – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Fulga%2C+C%2E%22">Fulga, C.</searchLink><relatesTo>1</relatesTo><i> reda@fmi.unibuc.ro</i><br /><searchLink fieldCode="AR" term="%22Preda%2C+V%2E%22">Preda, V.</searchLink><relatesTo>2</relatesTo> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22European+Journal+of+Operational+Research%22">European Journal of Operational Research</searchLink>. Feb2009, Vol. 192 Issue 3, p737-743. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Nonlinear+programming%22">Nonlinear programming</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+functions%22">Mathematical functions</searchLink><br /><searchLink fieldCode="DE" term="%22Convex+functions%22">Convex functions</searchLink><br /><searchLink fieldCode="DE" term="%22Set+theory%22">Set theory</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+programming%22">Mathematical programming</searchLink><br /><searchLink fieldCode="DE" term="%22Dynamic+programming%22">Dynamic programming</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In this paper, we extend the class of E-convex sets, E-convex and E-quasiconvex functions introduced by [Youness, E.A., 1999. E-convex sets, E-convex functions and E-convex programming. Journal of Optimization Theory and Applications 102, 439–450], respectively by [Syau, Yu-Ru, Lee, E. Stanley, 2005. Some properties of E-convex functions. Applied Mathematics Letters 18, 1074–1080] to E-invex set, E-preinvex, E-prequasiinvex and corresponding local concepts. Some properties of these classes are studied. As an application of our results, we consider the nonlinear programming problem for which, we establish that, under mild conditions, a local minimum is a global minimum. [Copyright &y& Elsevier] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of European Journal of Operational Research is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.ejor.2007.11.056 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 737 Subjects: – SubjectFull: Nonlinear programming Type: general – SubjectFull: Mathematical functions Type: general – SubjectFull: Convex functions Type: general – SubjectFull: Set theory Type: general – SubjectFull: Mathematical programming Type: general – SubjectFull: Dynamic programming Type: general Titles: – TitleFull: Nonlinear programming with E-preinvex and local E-preinvex functions Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Fulga, C. – PersonEntity: Name: NameFull: Preda, V. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 02 Text: Feb2009 Type: published Y: 2009 Identifiers: – Type: issn-print Value: 03772217 Numbering: – Type: volume Value: 192 – Type: issue Value: 3 Titles: – TitleFull: European Journal of Operational Research Type: main |
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