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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Main Authors: , QURRATUL AINI, , Dr. Ch. Rini
Format: Theses and Dissertations NonPeerReviewed
Published: [Yogyakarta] : Universitas Gadjah Mada 2011
Subjects:
ETD
Online Access:https://repository.ugm.ac.id/91037/
http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=53762
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Institution: Universitas Gadjah Mada
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spelling id-ugm-repo.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
institution Universitas Gadjah Mada
building UGM Library
country Indonesia
collection Repository Civitas UGM
topic ETD
spellingShingle ETD
, QURRATUL AINI
, Dr. Ch. Rini
ANALISIS MASALAH EKSTREM FUNGSI PADA RUANG BERNORMA
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.
format Theses and Dissertations
NonPeerReviewed
author , QURRATUL AINI
, Dr. Ch. Rini
author_facet , QURRATUL AINI
, Dr. Ch. Rini
author_sort , QURRATUL AINI
title ANALISIS MASALAH EKSTREM FUNGSI PADA RUANG BERNORMA
title_short 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_sort analisis masalah ekstrem fungsi pada ruang bernorma
publisher [Yogyakarta] : Universitas Gadjah Mada
publishDate 2011
url https://repository.ugm.ac.id/91037/
http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=53762
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