TEOREMA TITIK TETAP FUNGSI NONEKSPANSIF (FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS)
In this final project, we discuss about fixed point theorems for nonexpansive mappings in complete metric spaces. First, we discuss about fixed point theorems for contraction mappings in complete metric spaces. Furthermore, we discuss about the sufficient conditions to ensure the existence of fixed...
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| Format: | Thesis |
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[Yogyakarta] : Universitas Gadjah Mada
2013
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| author | , APREYENI MARLINA FITRIYANI , Dr. Ch. Rini Indrati, M.Si, |
| author_facet | , APREYENI MARLINA FITRIYANI , Dr. Ch. Rini Indrati, M.Si, |
| author_sort | , APREYENI MARLINA FITRIYANI |
| collection | UGM |
| description | In this final project, we discuss about fixed point theorems for nonexpansive
mappings in complete metric spaces. First, we discuss about fixed point theorems for
contraction mappings in complete metric spaces. Furthermore, we discuss about the
sufficient conditions to ensure the existence of fixed points of contraction mappings
in sub metric spaces of a complete metric space using homotopy for two contraction
mappings. Especially, we discuss about the sufficient conditions to ensure the existence
of fixed points of nonexpansive mappings in Hilbert spaces. In the last section,
we discuss about the sufficient conditions to ensure the existence of fixed points of
nonexpansive mappings in Banach spaces with uniformly convex structure. |
| first_indexed | 2024-03-13T23:10:20Z |
| format | Thesis |
| id | oai:generic.eprints.org:125365 |
| institution | Universiti Gadjah Mada |
| last_indexed | 2024-03-13T23:10:20Z |
| publishDate | 2013 |
| publisher | [Yogyakarta] : Universitas Gadjah Mada |
| record_format | dspace |
| spelling | oai:generic.eprints.org:1253652016-03-04T08:23:41Z https://repository.ugm.ac.id/125365/ TEOREMA TITIK TETAP FUNGSI NONEKSPANSIF (FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS) , APREYENI MARLINA FITRIYANI , Dr. Ch. Rini Indrati, M.Si, ETD In this final project, we discuss about fixed point theorems for nonexpansive mappings in complete metric spaces. First, we discuss about fixed point theorems for contraction mappings in complete metric spaces. Furthermore, we discuss about the sufficient conditions to ensure the existence of fixed points of contraction mappings in sub metric spaces of a complete metric space using homotopy for two contraction mappings. Especially, we discuss about the sufficient conditions to ensure the existence of fixed points of nonexpansive mappings in Hilbert spaces. In the last section, we discuss about the sufficient conditions to ensure the existence of fixed points of nonexpansive mappings in Banach spaces with uniformly convex structure. [Yogyakarta] : Universitas Gadjah Mada 2013 Thesis NonPeerReviewed , APREYENI MARLINA FITRIYANI and , Dr. Ch. Rini Indrati, M.Si, (2013) TEOREMA TITIK TETAP FUNGSI NONEKSPANSIF (FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS). UNSPECIFIED thesis, UNSPECIFIED. http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=65532 |
| spellingShingle | ETD , APREYENI MARLINA FITRIYANI , Dr. Ch. Rini Indrati, M.Si, TEOREMA TITIK TETAP FUNGSI NONEKSPANSIF (FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS) |
| title | TEOREMA TITIK TETAP FUNGSI NONEKSPANSIF
(FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS) |
| title_full | TEOREMA TITIK TETAP FUNGSI NONEKSPANSIF
(FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS) |
| title_fullStr | TEOREMA TITIK TETAP FUNGSI NONEKSPANSIF
(FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS) |
| title_full_unstemmed | TEOREMA TITIK TETAP FUNGSI NONEKSPANSIF
(FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS) |
| title_short | TEOREMA TITIK TETAP FUNGSI NONEKSPANSIF
(FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS) |
| title_sort | teorema titik tetap fungsi nonekspansif fixed point theorems for nonexpansive mappings |
| topic | ETD |
| work_keys_str_mv | AT apreyenimarlinafitriyani teorematitiktetapfungsinonekspansiffixedpointtheoremsfornonexpansivemappings AT drchriniindratimsi teorematitiktetapfungsinonekspansiffixedpointtheoremsfornonexpansivemappings |