Log InRegister
Quick Links : The Mindat ManualThe Rock H. Currier Digital LibraryMindat Newsletter [Free Download]
Home PageAbout MindatThe Mindat ManualHistory of MindatCopyright StatusWho We AreContact UsAdvertise on Mindat
Donate to MindatCorporate SponsorshipSponsor a PageSponsored PagesMindat AdvertisersAdvertise on Mindat
Learning CenterWhat is a mineral?The most common minerals on earthInformation for EducatorsMindat ArticlesThe ElementsThe Rock H. Currier Digital LibraryGeologic Time
Minerals by PropertiesMinerals by ChemistryMineral Visual ExplorerAdvanced Locality SearchRandom MineralRandom LocalitySearch by minIDLocalities Near MeSearch ArticlesSearch GlossaryMore Search Options
Search For:
Mineral Name:
Locality Name:
Keyword(s):
 
The Mindat ManualAdd a New PhotoRate PhotosLocality Edit ReportCoordinate Completion ReportAdd Glossary Item
Mining CompaniesStatisticsUsersMineral MuseumsClubs & OrganizationsMineral Shows & EventsThe Mindat DirectoryDevice SettingsThe Mineral QuizTime Machine
Photo SearchPhoto GalleriesSearch by ColorPhoto Colour ExplorerNew Photos TodayNew Photos YesterdayMembers' Photo GalleriesPast Photo of the Day GalleryPhotography

Lai, Hang-Chin, Yang, Shu-Shih, Hwang, George R. (1983) Duality in mathematical programming of set functions: On Fenchel duality theorem. Journal of Mathematical Analysis and Applications, 95. 223-234 doi:10.1016/0022-247x(83)90145-2

Advanced
   -   Only viewable:
Reference TypeJournal (article/letter/editorial)
TitleDuality in mathematical programming of set functions: On Fenchel duality theorem
JournalJournal of Mathematical Analysis and Applications
AuthorsLai, Hang-ChinAuthor
Yang, Shu-ShihAuthor
Hwang, George R.Author
Year1983 (August)Volume95
PublisherElsevier BV
DOIdoi:10.1016/0022-247x(83)90145-2Search in ResearchGate
Generate Citation Formats
Mindat Ref. ID12378450Long-form Identifiermindat:1:5:12378450:8
GUID0
Full ReferenceLai, Hang-Chin, Yang, Shu-Shih, Hwang, George R. (1983) Duality in mathematical programming of set functions: On Fenchel duality theorem. Journal of Mathematical Analysis and Applications, 95. 223-234 doi:10.1016/0022-247x(83)90145-2
Plain TextLai, Hang-Chin, Yang, Shu-Shih, Hwang, George R. (1983) Duality in mathematical programming of set functions: On Fenchel duality theorem. Journal of Mathematical Analysis and Applications, 95. 223-234 doi:10.1016/0022-247x(83)90145-2
In(n.d.) Journal of Mathematical Analysis and Applications Vol. 95. Elsevier BV

See Also

These are possibly similar items as determined by title/reference text matching only.

Lai, Hang-Chin, Lin, Lai-Jiu (1988) Moreau-Rockafellar type theorem for convex set functions. Journal of Mathematical Analysis and Applications, 132. 558-571 doi:10.1016/0022-247x(88)90084-4
Kanniappan, P (1983) Fenchel-Rockafellar type duality for a non-convex non-differential optimization problem. Journal of Mathematical Analysis and Applications, 97. 266-276 doi:10.1016/0022-247x(83)90250-0
Karamardian, S (1967) Strictly quasi-convex (concave) functions and duality in mathematical programming. Journal of Mathematical Analysis and Applications, 20. 344-358 doi:10.1016/0022-247x(67)90095-9
Iwamoto, Seiichi (1983) Reverse function, reverse program, and reverse theorem in mathematical programming. Journal of Mathematical Analysis and Applications, 95. 1-19 doi:10.1016/0022-247x(83)90132-4
Gupta, Bina (1983) Second order duality and symmetric duality for non-linear programs in complex space. Journal of Mathematical Analysis and Applications, 97. 56-64 doi:10.1016/0022-247x(83)90237-8
Anderson, E.J (1983) A review of duality theory for linear programming over topological vector spaces. Journal of Mathematical Analysis and Applications, 97. 380-392 doi:10.1016/0022-247x(83)90204-4
Zalmai, G.J (1990) Symmetric duality in continuous-time programming via minmax duality. Journal of Mathematical Analysis and Applications, 153. 372-390 doi:10.1016/0022-247x(90)90219-6
Bensoussan, A (1986) On Bellman equations in duality. Journal of Mathematical Analysis and Applications, 119. 234-248 doi:10.1016/0022-247x(86)90155-1
Zalmai, G.J (1990) Duality for generalized fractional programs involving n-set functions. Journal of Mathematical Analysis and Applications, 149. 339-350 doi:10.1016/0022-247x(90)90046-i
Lai, H.C., Liu, J.C. (1999) Duality for a Minimax Programming Problem Containingn-Set Functions. Journal of Mathematical Analysis and Applications, 229. 587-604 doi:10.1006/jmaa.1998.6187
Ovchinnikov, S.V (1983) General negations in fuzzy set theory. Journal of Mathematical Analysis and Applications, 92. 234-239 doi:10.1016/0022-247x(83)90282-2
 
and/or  
Mindat.org® is an outreach project of the Hudson Institute of Mineralogy, a 501(c)(3) not-for-profit organization. Mindat® and mindat.org® are registered trademarks of the Hudson Institute of Mineralogy.
Copyright © mindat.org and the Hudson Institute of Mineralogy 1993-2026, except where stated. Most political location boundaries are © OpenStreetMap contributors. Mindat.org relies on the contributions of thousands of members and supporters. Founded in 2000 by Jolyon Ralph and Ida Chau.
To cite: Ralph, J., Von Bargen, D., Martynov, P., Zhang, J., Que, X., Prabhu, A., Morrison, S. M., Li, W., Chen, W., & Ma, X. (2025). Mindat.org: The open access mineralogy database to accelerate data-intensive geoscience research. American Mineralogist, 110(6), 833–844. doi:10.2138/am-2024-9486.
Privacy Policy - Terms & Conditions - Contact Us / DMCA issues - Report a bug/vulnerability Current server date and time: June 7, 2026 11:18:03
Go to top of page