BEBERAPA TEOREMA TITIK TETAP UNTUK PEMETAAN NONSELF SOME FIXED POINT THEOREMS FOR NONSELF MAPS
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 th...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Theses and Dissertations NonPeerReviewed |
| Published: |
[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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universitas Gadjah Mada |
| Summary: | 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. |
|---|