Fixed-point set of a quasi-nonexpansive map on a cat(0) space
Thesis (M.Sc.)--Chulalongkorn University, 2004
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Chulalongkorn University
2007
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| Online Access: | http://cuir.car.chula.ac.th/handle/123456789/3643 |
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th-cuir.36432007-12-27T04:26:58Z Fixed-point set of a quasi-nonexpansive map on a cat(0) space เซตจุดตรึงของฟังก์ชันกึ่งไม่ขยายตัวบนปริภูมิ CAT(0) Aniruth Phon-on Phichet Chaoha Chulalongkorn University. Faculty of Science Fixed point theory Set theory Functions, Continuous Thesis (M.Sc.)--Chulalongkorn University, 2004 Let (X, [rho]) be a CAT(0) space and f : X [vector] X a continuous quasi-nonexpansive map. In this thesis, we show that the fixed point set of f is [rho]-convex and contractible. As a consequence, if the fixed point set of f is nonempty, it is either a singleton or an infinite ให้ (X, [rho]) เป็น ปริภูมิ CAT(0) และ f : X [vector] X เป็นฟังก์ชันต่อเนื่องกึ่งไม่ขยายตัว ในวิทยานิพนธ์นี้เราจะแสดงว่า เซตจุดตรึงของ f เป็นเซต [rho]-คอนเวกซ์และหดตัว และผลที่ตามมา จะได้ว่า ถ้า เซตจุดตรึงของ f เป็นเซตที่ไม่ว่าง แล้วเซตจุดตรึงของ f เป็นเซตโทน หรือ เซตอนันต์ 2007-07-13T09:04:36Z 2007-07-13T09:04:36Z 2004 Thesis 9741766564 http://cuir.car.chula.ac.th/handle/123456789/3643 en Chulalongkorn University 202243 bytes application/pdf application/pdf Chulalongkorn University |
| institution |
Chulalongkorn University |
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Chulalongkorn University Library |
| country |
Thailand |
| collection |
Chulalongkorn University Intellectual Repository |
| language |
English |
| topic |
Fixed point theory Set theory Functions, Continuous |
| spellingShingle |
Fixed point theory Set theory Functions, Continuous Aniruth Phon-on Fixed-point set of a quasi-nonexpansive map on a cat(0) space |
| description |
Thesis (M.Sc.)--Chulalongkorn University, 2004 |
| author2 |
Phichet Chaoha |
| author_facet |
Phichet Chaoha Aniruth Phon-on |
| format |
Theses and Dissertations |
| author |
Aniruth Phon-on |
| author_sort |
Aniruth Phon-on |
| title |
Fixed-point set of a quasi-nonexpansive map on a cat(0) space |
| title_short |
Fixed-point set of a quasi-nonexpansive map on a cat(0) space |
| title_full |
Fixed-point set of a quasi-nonexpansive map on a cat(0) space |
| title_fullStr |
Fixed-point set of a quasi-nonexpansive map on a cat(0) space |
| title_full_unstemmed |
Fixed-point set of a quasi-nonexpansive map on a cat(0) space |
| title_sort |
fixed-point set of a quasi-nonexpansive map on a cat(0) space |
| publisher |
Chulalongkorn University |
| publishDate |
2007 |
| url |
http://cuir.car.chula.ac.th/handle/123456789/3643 |
| _version_ |
1681411490261762048 |