TEOREMA TITIK TETAP FUNGSI NONEKSPANSIF (FIXED POINT THEOREMS FOR NONEXPANSIVE MAPPINGS)
In this final project, we discuss about fixed point theorems for nonexpansive mappings in complete metric spaces. First, we discuss about fixed point theorems for contraction mappings in complete metric spaces. Furthermore, we discuss about the sufficient conditions to ensure the existence of fixed...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Theses and Dissertations NonPeerReviewed |
| Published: |
[Yogyakarta] : Universitas Gadjah Mada
2013
|
| Subjects: | |
| Online Access: | https://repository.ugm.ac.id/125365/ http://etd.ugm.ac.id/index.php?mod=penelitian_detail&sub=PenelitianDetail&act=view&typ=html&buku_id=65532 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this final project, we discuss about fixed point theorems for nonexpansive
mappings in complete metric spaces. First, we discuss about fixed point theorems for
contraction mappings in complete metric spaces. Furthermore, we discuss about the
sufficient conditions to ensure the existence of fixed points of contraction mappings
in sub metric spaces of a complete metric space using homotopy for two contraction
mappings. Especially, we discuss about the sufficient conditions to ensure the existence
of fixed points of nonexpansive mappings in Hilbert spaces. In the last section,
we discuss about the sufficient conditions to ensure the existence of fixed points of
nonexpansive mappings in Banach spaces with uniformly convex structure. |
|---|