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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| Format: | Theses and Dissertations |
| Language: | English |
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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 |
| Language: | English |
| Summary: | 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. |
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