BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN NONSELF SOME FIXED POINT THEOREMS FOR NONSELF MAPS

In this thesis, some fixed point theorems for nonself maps are studied. Firstly, by applying some properties of the measure of noncompactness and the fixed point theorem of Sadovskii, a fixed point theorem for condensing nonself map is proved. By Urysohn�s Lemma and Schauder fixed point theorem th...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: , RINDANG KASIH, S.Pd, , Dr. Atok Zulijanto, M.Si.
التنسيق: Theses and Dissertations NonPeerReviewed
منشور في: [Yogyakarta] : Universitas Gadjah Mada 2011
الموضوعات:
ETD
الوصول للمادة أونلاين:https://repository.ugm.ac.id/90124/
http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=52444
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spelling id-ugm-repo.901242014-08-20T02:53:19Z https://repository.ugm.ac.id/90124/ BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN NONSELF SOME FIXED POINT THEOREMS FOR NONSELF MAPS , RINDANG KASIH, S.Pd , Dr. Atok Zulijanto, M.Si. ETD In this thesis, some fixed point theorems for nonself maps are studied. Firstly, by applying some properties of the measure of noncompactness and the fixed point theorem of Sadovskii, a fixed point theorem for condensing nonself map is proved. By Urysohn�s Lemma and Schauder fixed point theorem the proof of a fixed point theorem for continuous compact nonself map is obtained. Using the properties of the measure of noncompactness, a fixed point theorem for the sum of two operators, one being compact and the other a k-set contractive nonself map can also be proved. Further more, this thesis also contains a fixed point theorem for contractive nonself map. Finally, a fixed point theorem for nonexpasive nonself mapping which is defined on a closed subset of a uniformly convex Banach space is proved. [Yogyakarta] : Universitas Gadjah Mada 2011 Thesis NonPeerReviewed , RINDANG KASIH, S.Pd and , Dr. Atok Zulijanto, M.Si. (2011) BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN NONSELF SOME FIXED POINT THEOREMS FOR NONSELF MAPS. UNSPECIFIED thesis, UNSPECIFIED. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=52444
institution Universitas Gadjah Mada
building UGM Library
country Indonesia
collection Repository Civitas UGM
topic ETD
spellingShingle ETD
, RINDANG KASIH, S.Pd
, Dr. Atok Zulijanto, M.Si.
BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN NONSELF SOME FIXED POINT THEOREMS FOR NONSELF MAPS
description In this thesis, some fixed point theorems for nonself maps are studied. Firstly, by applying some properties of the measure of noncompactness and the fixed point theorem of Sadovskii, a fixed point theorem for condensing nonself map is proved. By Urysohn�s Lemma and Schauder fixed point theorem the proof of a fixed point theorem for continuous compact nonself map is obtained. Using the properties of the measure of noncompactness, a fixed point theorem for the sum of two operators, one being compact and the other a k-set contractive nonself map can also be proved. Further more, this thesis also contains a fixed point theorem for contractive nonself map. Finally, a fixed point theorem for nonexpasive nonself mapping which is defined on a closed subset of a uniformly convex Banach space is proved.
format Theses and Dissertations
NonPeerReviewed
author , RINDANG KASIH, S.Pd
, Dr. Atok Zulijanto, M.Si.
author_facet , RINDANG KASIH, S.Pd
, Dr. Atok Zulijanto, M.Si.
author_sort , RINDANG KASIH, S.Pd
title BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN NONSELF SOME FIXED POINT THEOREMS FOR NONSELF MAPS
title_short BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN NONSELF SOME FIXED POINT THEOREMS FOR NONSELF MAPS
title_full BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN NONSELF SOME FIXED POINT THEOREMS FOR NONSELF MAPS
title_fullStr BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN NONSELF SOME FIXED POINT THEOREMS FOR NONSELF MAPS
title_full_unstemmed BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN NONSELF SOME FIXED POINT THEOREMS FOR NONSELF MAPS
title_sort beberapa teorema titik tetap untuk pemetaan nonself some fixed point theorems for nonself maps
publisher [Yogyakarta] : Universitas Gadjah Mada
publishDate 2011
url https://repository.ugm.ac.id/90124/
http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=52444
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