ANALISIS MASALAH EKSTREM FUNGSI PADA RUANG BERNORMA
In this thesis, we discuss about a point which minimize the value of a function on normed space in analysis. At first, we introduce the convex sets and the convex functions on normed space. The discussion in the convex set and the convex function including the definition and basic properties of them...
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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2011
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| _version_ | 1797030858142515200 |
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| author | , QURRATUL AINI , Dr. Ch. Rini |
| author_facet | , QURRATUL AINI , Dr. Ch. Rini |
| author_sort | , QURRATUL AINI |
| collection | UGM |
| description | In this thesis, we discuss about a point which minimize the value of a function
on normed space in analysis. At first, we introduce the convex sets and the convex
functions on normed space. The discussion in the convex set and the convex function
including the definition and basic properties of them. Furthermore, we discuss the
function that has lower semi-continuous from above, the Legendre-Fenchel transform
and subdifferentials of convex functions, and the constraint of extreme functions, and
we shall prove the Ekeland Variational Principle and the Borwein-Preiss Smooth
Variational Principle. |
| first_indexed | 2024-03-13T22:12:20Z |
| format | Thesis |
| id | oai:generic.eprints.org:91037 |
| institution | Universiti Gadjah Mada |
| last_indexed | 2024-03-13T22:12:20Z |
| publishDate | 2011 |
| publisher | [Yogyakarta] : Universitas Gadjah Mada |
| record_format | dspace |
| spelling | oai:generic.eprints.org:910372014-08-20T02:53:14Z https://repository.ugm.ac.id/91037/ ANALISIS MASALAH EKSTREM FUNGSI PADA RUANG BERNORMA , QURRATUL AINI , Dr. Ch. Rini ETD In this thesis, we discuss about a point which minimize the value of a function on normed space in analysis. At first, we introduce the convex sets and the convex functions on normed space. The discussion in the convex set and the convex function including the definition and basic properties of them. Furthermore, we discuss the function that has lower semi-continuous from above, the Legendre-Fenchel transform and subdifferentials of convex functions, and the constraint of extreme functions, and we shall prove the Ekeland Variational Principle and the Borwein-Preiss Smooth Variational Principle. [Yogyakarta] : Universitas Gadjah Mada 2011 Thesis NonPeerReviewed , QURRATUL AINI and , Dr. Ch. Rini (2011) ANALISIS MASALAH EKSTREM FUNGSI PADA RUANG BERNORMA. UNSPECIFIED thesis, UNSPECIFIED. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=53762 |
| spellingShingle | ETD , QURRATUL AINI , Dr. Ch. Rini ANALISIS MASALAH EKSTREM FUNGSI PADA RUANG BERNORMA |
| title | ANALISIS MASALAH EKSTREM FUNGSI PADA RUANG BERNORMA |
| title_full | ANALISIS MASALAH EKSTREM FUNGSI PADA RUANG BERNORMA |
| title_fullStr | ANALISIS MASALAH EKSTREM FUNGSI PADA RUANG BERNORMA |
| title_full_unstemmed | ANALISIS MASALAH EKSTREM FUNGSI PADA RUANG BERNORMA |
| title_short | ANALISIS MASALAH EKSTREM FUNGSI PADA RUANG BERNORMA |
| title_sort | analisis masalah ekstrem fungsi pada ruang bernorma |
| topic | ETD |
| work_keys_str_mv | AT qurratulaini analisismasalahekstremfungsipadaruangbernorma AT drchrini analisismasalahekstremfungsipadaruangbernorma |