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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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2011
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| _version_ | 1797030669806731264 |
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| 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 |
| collection | UGM |
| 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. |
| first_indexed | 2024-03-13T22:09:26Z |
| format | Thesis |
| id | oai:generic.eprints.org:90124 |
| institution | Universiti Gadjah Mada |
| last_indexed | 2024-03-13T22:09:26Z |
| publishDate | 2011 |
| publisher | [Yogyakarta] : Universitas Gadjah Mada |
| record_format | dspace |
| spelling | oai:generic.eprints.org: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 |
| 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 |
| title | 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_short | 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 |
| topic | ETD |
| work_keys_str_mv | AT rindangkasihspd beberapateorematitiktetapuntukpemetaannonselfsomefixedpointtheoremsfornonselfmaps AT dratokzulijantomsi beberapateorematitiktetapuntukpemetaannonselfsomefixedpointtheoremsfornonselfmaps |