A fixed path for level-contraction maps of the cylinder of a compact metric space
Thesis (M.Sc.)--Chulalongkorn University, 2002
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Chulalongkorn University
2010
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| Online Access: | http://cuir.car.chula.ac.th/handle/123456789/12205 |
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th-cuir.122052010-03-15T04:04:50Z A fixed path for level-contraction maps of the cylinder of a compact metric space ทฤษฎีวิถีตรึงสำหรับการส่งแบบหดตัวเชิงระดับของทรงกระบอกของปริภูมิอิงระยะทางที่กระชับ Gun Sunyeekhan Phichet Chaoha Chulalongkorn University. Faculty of Science Fixed point theory Mathematical analysis Compact spaces Thesis (M.Sc.)--Chulalongkorn University, 2002 In this thesis, we show that for any compact metric space X, If f: X× I [vector] X× I is a level – contraction map then there exists a unique path rho : I [vector] X× I which is fixed by f; i.e., f o rho = rho. ในวิทยานิพนธ์นี้เราแสดงว่าสำหรับปริภูมิอิงระยะทางที่กระชับ X ใดๆ ถ้า f: X× I [vector] X× I ถ้าเป็นการส่งแบบหดตัวเชิงระดับ แล้วจะมีวิถี rho : I [vector] X× I เพียงหนึ่งเดียว ที่ถูกตรึงด้วย f นั่นคือ f o rho = rho 2010-03-15T04:04:50Z 2010-03-15T04:04:50Z 2002 Thesis 9741797915 http://cuir.car.chula.ac.th/handle/123456789/12205 en Chulalongkorn University 1862194 bytes application/pdf application/pdf Chulalongkorn University |
| institution |
Chulalongkorn University |
| building |
Chulalongkorn University Library |
| country |
Thailand |
| collection |
Chulalongkorn University Intellectual Repository |
| language |
English |
| topic |
Fixed point theory Mathematical analysis Compact spaces |
| spellingShingle |
Fixed point theory Mathematical analysis Compact spaces Gun Sunyeekhan A fixed path for level-contraction maps of the cylinder of a compact metric space |
| description |
Thesis (M.Sc.)--Chulalongkorn University, 2002 |
| author2 |
Phichet Chaoha |
| author_facet |
Phichet Chaoha Gun Sunyeekhan |
| format |
Theses and Dissertations |
| author |
Gun Sunyeekhan |
| author_sort |
Gun Sunyeekhan |
| title |
A fixed path for level-contraction maps of the cylinder of a compact metric space |
| title_short |
A fixed path for level-contraction maps of the cylinder of a compact metric space |
| title_full |
A fixed path for level-contraction maps of the cylinder of a compact metric space |
| title_fullStr |
A fixed path for level-contraction maps of the cylinder of a compact metric space |
| title_full_unstemmed |
A fixed path for level-contraction maps of the cylinder of a compact metric space |
| title_sort |
fixed path for level-contraction maps of the cylinder of a compact metric space |
| publisher |
Chulalongkorn University |
| publishDate |
2010 |
| url |
http://cuir.car.chula.ac.th/handle/123456789/12205 |
| _version_ |
1681413875925254144 |