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 c...
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th-cmuir.6653943832-433232017-09-28T06:54:28Z Fixed point theorems for nonlinear mappings and strict convexity of banach spaces Dhompongsa S. Fupinwong W. Takahashi W. Yao J. 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. 2017-09-28T06:54:28Z 2017-09-28T06:54:28Z 2010-04-01 Journal 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/6653943832/43323 |
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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. |
| format |
Journal |
| author |
Dhompongsa S. Fupinwong W. Takahashi W. Yao J. |
| spellingShingle |
Dhompongsa S. Fupinwong W. Takahashi W. Yao J. Fixed point theorems for nonlinear mappings and strict convexity of banach spaces |
| author_facet |
Dhompongsa S. Fupinwong W. Takahashi W. Yao J. |
| author_sort |
Dhompongsa S. |
| 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 |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=78650736801&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/43323 |
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