Firmansyah, Mohamad Ilham Dwi (2020) Eksisntensi dan Ketunggalan Titik Tetap Pemetaan Quasi-Kontraksi di Dalam Ruang Metrik Parsial Rectangular. Other thesis, Institut Teknologi Sepuluh Nopember.
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Abstract
Konsep ruang metrik mengalami banyak perluasan, salah satu contohnya adalah ruang metrik parsial rectangular. Ruang metrik parsial rectangular secara khusus merupakan perluasan dari ruang metrik parsial dan ruang metrik rectangular. Masalah yang sering dibahas di dalam ruang metrik adalah masalah eksistensi dan ketunggalan titik tetap kontraksi Banach. Titik tetap kontraksi Banach sendiri mengalami perkembangan salah satu contohnya titik tetap pemetaan quasi-kontraksi. Pada tugas akhir ini diperoleh syarat cukup dari eksistensi dan ketunggalan titik tetap pemetaan quasi-kontraksi di dalam ruang metrik parsial rectangular. Lebih lanjut, dikonstruksi contoh yang menunjukkan masalah eksistensi dan ketunggalan titik tetap pemetaan quasi-kontraksi di dalam ruang metrik parsial rectangular.
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Concept of metric space has many extensions, one example is rectangular partial metric spaces. Rectangular partial metric spaces are specifically an extension of partial metric spaces and rectangular metric spaces. A problem that is often discussed in metric spaces is the problem of the existence and uniqueness of fixed point Banach contraction. The fixed point Banach contraction itself has developed one of them is the principle of quasi-contraction mapping. In this final project, sufficient conditions are obtained from the existence and uniqueness of fixed points of quasi-contraction mapping in rectangular partial metric spaces. Furthermore, will be constructed of an example showing the problem of the existence and uniqueness of fixed points of quasi-contraction mapping in rectangular partial metric spaces.
| Item Type: | Thesis (Other) |
|---|---|
| Additional Information: | RSMa 514.325 Fir e-1 • Firmansyah, Mohamad Ilham Dwi |
| Uncontrolled Keywords: | partial metric space, rectangular metric space, partial rectangular metric space, fixed point, quasicontraction mapping. ruang metrik parsial, ruang metrik rectangular, ruang metrik parsial rectangular, titik tetap, pemetaan quasi-kontraksi. |
| Subjects: | Q Science > QA Mathematics > QA322.2 Normed linear spaces. Banach spaces Q Science > QA Mathematics > QA611.28 Metric spaces |
| Divisions: | Faculty of Science and Data Analytics (SCIENTICS) > Mathematics > 44201-(S1) Undergraduate Thesis |
| Depositing User: | Mohamad Ilham Dwi Firmansyah |
| Date Deposited: | 21 Aug 2020 07:44 |
| Last Modified: | 08 Jun 2023 13:08 |
| URI: | http://repository.its.ac.id/id/eprint/78483 |
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