Analisis titik tetap set-valued function menggunakan metrik hausdorff = Analysis fixed point of set-valued function using hausdorff metric
| Main Authors: | Sihombing, Sagita Charolina, author, Add author: Belawati H. Widjaja, supervisor, Add author: Arie Wibowo, supervisor, Add author: Sri Mardiyanti, examiner, Add author: Kiki Ariyanti Sugeng, examiner |
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| Format: | Masters Doctoral |
| Terbitan: |
Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia
, 2012
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| Subjects: | |
| Online Access: |
https://lib.ui.ac.id/detail?id=20376077 |
| ctrlnum |
20376077 |
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| fullrecord |
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<dc schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><type>Thesis:Masters</type><title>Analisis titik tetap set-valued function menggunakan metrik hausdorff = Analysis fixed point of set-valued function using hausdorff metric</title><creator>Sihombing, Sagita Charolina, author</creator><creator>Add author: Belawati H. Widjaja, supervisor</creator><creator>Add author: Arie Wibowo, supervisor</creator><creator>Add author: Sri Mardiyanti, examiner</creator><creator>Add author: Kiki Ariyanti Sugeng, examiner</creator><publisher>Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia</publisher><date>2012</date><subject>Function spaces</subject><description>Set-valued function (fungsi bernilai himpunan) adalah salah satu jenis fungsi yang banyak diteliti oleh para ahli dewasa ini. Salah satu sifat pemetaan yang menjamin titik tetap pada set-valued function yang sudah dikenal adalah sifat kontraktif. Pada tesis ini, dikaji eksistensi titik tetap set-valued function dengan sifat pemetaan C-kontraktif menggunakan konsep metrik Hausorff. Dari hasil penelitian didapat bahwa eksistensi titik tetap set-valued function dengan sifat pemetaan C-kontraktif masih dapat dipertahankan.
<hr><i>Set-valued function is a kind of function that has an improvement in research. One kind of a famous mapping that guarantee a fixed point in a setvalued function is contractive mapping. In this thesis an analyse of fixed point of set-valued function with C-contractive mapping using Hausdorff metric is done. From the research, the existence of fixed point in a set-valued function with Contractive mapping still be remained.</i></description><identifier>https://lib.ui.ac.id/detail?id=20376077</identifier><recordID>20376077</recordID></dc>
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| format |
Thesis:Masters Thesis Thesis:Doctoral |
| author |
Sihombing, Sagita Charolina, author Add author: Belawati H. Widjaja, supervisor Add author: Arie Wibowo, supervisor Add author: Sri Mardiyanti, examiner Add author: Kiki Ariyanti Sugeng, examiner |
| title |
Analisis titik tetap set-valued function menggunakan metrik hausdorff = Analysis fixed point of set-valued function using hausdorff metric |
| publisher |
Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Indonesia |
| publishDate |
2012 |
| topic |
Function spaces |
| url |
https://lib.ui.ac.id/detail?id=20376077 |
| contents |
Set-valued function (fungsi bernilai himpunan) adalah salah satu jenis fungsi yang banyak diteliti oleh para ahli dewasa ini. Salah satu sifat pemetaan yang menjamin titik tetap pada set-valued function yang sudah dikenal adalah sifat kontraktif. Pada tesis ini, dikaji eksistensi titik tetap set-valued function dengan sifat pemetaan C-kontraktif menggunakan konsep metrik Hausorff. Dari hasil penelitian didapat bahwa eksistensi titik tetap set-valued function dengan sifat pemetaan C-kontraktif masih dapat dipertahankan.
<hr><i>Set-valued function is a kind of function that has an improvement in research. One kind of a famous mapping that guarantee a fixed point in a setvalued function is contractive mapping. In this thesis an analyse of fixed point of set-valued function with C-contractive mapping using Hausdorff metric is done. From the research, the existence of fixed point in a set-valued function with Contractive mapping still be remained.</i> |
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Universitas Indonesia |
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JAWA BARAT |
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2022-12-14T04:22:23Z |
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