BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN NONSELF SOME FIXED POINT THEOREMS FOR NONSELF MAPS
| Main Authors: | , RINDANG KASIH, S.Pd, , Dr. Atok Zulijanto, M.Si. |
|---|---|
| Format: | Thesis NonPeerReviewed |
| Terbitan: |
[Yogyakarta] : Universitas Gadjah Mada
, 2011
|
| Subjects: | |
| Online Access: |
https://repository.ugm.ac.id/90124/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=52444 |
Daftar Isi:
- 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.