Fixed point theorems for nonlinear mappings and strict convexity of banach spaces
In this paper, we first prove a fixed point theorem for generalized nonexpansive type mappings in a Banach space by using Kohsaka and Takahashi's fixed point theorem [10] for nonspreading mappings. Then using Takahashi, Yao and Kohsaka's result [21], we obtain a necessary and sufficient co...
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th-cmuir.6653943832-510002018-09-04T04:49:41Z Fixed point theorems for nonlinear mappings and strict convexity of banach spaces S. Dhompongsa W. Fupinwong W. Takahashi J. C. Yao Mathematics In this paper, we first prove a fixed point theorem for generalized nonexpansive type mappings in a Banach space by using Kohsaka and Takahashi's fixed point theorem [10] for nonspreading mappings. Then using Takahashi, Yao and Kohsaka's result [21], we obtain a necessary and sufficient condition for the existence of fixed points of generalized nonexpansive type mappings. Further, we prove a fixed point theorem for nonspreading mappings with compact domains in a Banach space. Using this result, we give a necessary and sufficient condition for strict convexity of Banach spaces. 2018-09-04T04:49:41Z 2018-09-04T04:49:41Z 2010-04-01 Journal 18805221 13454773 2-s2.0-78650736801 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78650736801&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51000 |
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Mathematics S. Dhompongsa W. Fupinwong W. Takahashi J. C. Yao Fixed point theorems for nonlinear mappings and strict convexity of banach spaces |
| description |
In this paper, we first prove a fixed point theorem for generalized nonexpansive type mappings in a Banach space by using Kohsaka and Takahashi's fixed point theorem [10] for nonspreading mappings. Then using Takahashi, Yao and Kohsaka's result [21], we obtain a necessary and sufficient condition for the existence of fixed points of generalized nonexpansive type mappings. Further, we prove a fixed point theorem for nonspreading mappings with compact domains in a Banach space. Using this result, we give a necessary and sufficient condition for strict convexity of Banach spaces. |
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Journal |
| author |
S. Dhompongsa W. Fupinwong W. Takahashi J. C. Yao |
| author_facet |
S. Dhompongsa W. Fupinwong W. Takahashi J. C. Yao |
| author_sort |
S. Dhompongsa |
| title |
Fixed point theorems for nonlinear mappings and strict convexity of banach spaces |
| title_short |
Fixed point theorems for nonlinear mappings and strict convexity of banach spaces |
| title_full |
Fixed point theorems for nonlinear mappings and strict convexity of banach spaces |
| title_fullStr |
Fixed point theorems for nonlinear mappings and strict convexity of banach spaces |
| title_full_unstemmed |
Fixed point theorems for nonlinear mappings and strict convexity of banach spaces |
| title_sort |
fixed point theorems for nonlinear mappings and strict convexity of banach spaces |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78650736801&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51000 |
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