Common Fixed Points for Nonexpansive Mappings and Nonspreading Mappings in Banach Spaces
In this thesis, firstly, we prove the existence of a common fixed point for firmly nonspreading mappings and quasi-nonexpansive mappings in CAT(0) spaces. Secondly, we introduce an iterative scheme by using the concept of Ishikawa iterative scheme and prove ∆ - convergence theorems for firmly non...
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เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่
2020
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| Online Access: | http://cmuir.cmu.ac.th/jspui/handle/6653943832/69681 |
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| Institution: | Chiang Mai University |
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th-cmuir.6653943832-696812020-08-20T01:04:07Z Common Fixed Points for Nonexpansive Mappings and Nonspreading Mappings in Banach Spaces จุดตรึงร่วมสำหรับการส่งไม่ขยายและการส่งไม่กระจายในปริภูมิบานาค Tanaphong Prommai Asst. Prof. Dr. Attapol Kaewkhao Asst. Prof. Dr. Narawadee Phudolsitthiphat Asst. Prof. Dr. Warunun Inthakon In this thesis, firstly, we prove the existence of a common fixed point for firmly nonspreading mappings and quasi-nonexpansive mappings in CAT(0) spaces. Secondly, we introduce an iterative scheme by using the concept of Ishikawa iterative scheme and prove ∆ - convergence theorems for firmly nonspreading mappings and quasi-nonexpansive mappings in CAT(0) spaces. Finally, we introduce an iterative scheme by viscosity approximation method related to the previous method for obtaining a strong convergence theorem for a common fixed point of a family of nonexpansive mappings in a real Hilbert space. 2020-08-20T01:04:07Z 2020-08-20T01:04:07Z 2020-05 Thesis http://cmuir.cmu.ac.th/jspui/handle/6653943832/69681 en เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่ |
| institution |
Chiang Mai University |
| building |
Chiang Mai University Library |
| continent |
Asia |
| country |
Thailand Thailand |
| content_provider |
Chiang Mai University Library |
| collection |
CMU Intellectual Repository |
| language |
English |
| description |
In this thesis, firstly, we prove the existence of a common fixed point for firmly
nonspreading mappings and quasi-nonexpansive mappings in CAT(0) spaces. Secondly,
we introduce an iterative scheme by using the concept of Ishikawa iterative scheme and
prove ∆ - convergence theorems for firmly nonspreading mappings and quasi-nonexpansive mappings in CAT(0) spaces. Finally, we introduce an iterative scheme by viscosity approximation method related to the previous method for obtaining a strong convergence theorem for a common fixed point of a family of nonexpansive mappings in a real Hilbert space. |
| author2 |
Asst. Prof. Dr. Attapol Kaewkhao |
| author_facet |
Asst. Prof. Dr. Attapol Kaewkhao Tanaphong Prommai |
| format |
Theses and Dissertations |
| author |
Tanaphong Prommai |
| spellingShingle |
Tanaphong Prommai Common Fixed Points for Nonexpansive Mappings and Nonspreading Mappings in Banach Spaces |
| author_sort |
Tanaphong Prommai |
| title |
Common Fixed Points for Nonexpansive Mappings and Nonspreading Mappings in Banach Spaces |
| title_short |
Common Fixed Points for Nonexpansive Mappings and Nonspreading Mappings in Banach Spaces |
| title_full |
Common Fixed Points for Nonexpansive Mappings and Nonspreading Mappings in Banach Spaces |
| title_fullStr |
Common Fixed Points for Nonexpansive Mappings and Nonspreading Mappings in Banach Spaces |
| title_full_unstemmed |
Common Fixed Points for Nonexpansive Mappings and Nonspreading Mappings in Banach Spaces |
| title_sort |
common fixed points for nonexpansive mappings and nonspreading mappings in banach spaces |
| publisher |
เชียงใหม่ : บัณฑิตวิทยาลัย มหาวิทยาลัยเชียงใหม่ |
| publishDate |
2020 |
| url |
http://cmuir.cmu.ac.th/jspui/handle/6653943832/69681 |
| _version_ |
1681752765270851584 |