Somania, Rodiah (2016) Teorema Titik Tetap Pada Ruang Metrik Quasi Parsial. Sarjana thesis, Universitas Brawijaya.
Abstract
Dalam Skripsi ini dipelajari definisi, lemma dan Teorema Titik Tetap Caristi pada ruang metrik quasi parsial. Dari definisi, lemma dan teorema yang dipelajari, ditunjukkan adanya hubungan barisan Cauchy dan kelengkapan ruang metrik quasi parsial dengan ruang metrik dan ruang metrik parsial. Dengan menggunakan teorema titik tetap Caristi, pemetaan mempunyai titik tetap jika ( ) ( ( )) merupakan T-orbitally semicontinuous dan memenuhi ( ( )) ( ) ( ( )) ( )
English Abstract
This final project studies about definitions, lemmas and Caristi’s theorem for quasi-partial metric spaces. There is a relation about Cauchy sequence and completeness between quasi-partial metric spaces with metric spaces and partial metric spaces. Using Caristi’s theorem, a map of f has a fixed point if ( ) ( ( )) is T-orbitally semicontinuous and satisfied ( ( )) ( ) ( ( )) ( )
| Item Type: | Thesis (Sarjana) |
|---|---|
| Identification Number: | SKR/MIPA/2016/65/ 051603413 |
| Subjects: | 500 Natural sciences and mathematics > 510 Mathematics |
| Divisions: | Fakultas Matematika dan Ilmu Pengetahuan Alam > Matematika |
| Depositing User: | Kustati |
| Date Deposited: | 20 Apr 2016 11:17 |
| Last Modified: | 20 Apr 2016 11:17 |
| URI: | http://repository.ub.ac.id/id/eprint/155096 |
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