Some renormings with the stable fixed point property
In this paper, we prove that for any number λ < (√33-3)/2, any separable space X can be renormed in such a way that X satisfies the weak fixed point property for non-expansive mappings and this property is inherited for any other isomorphic space Y such that the Banach-Mazur distance between X an...
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th-cmuir.6653943832-527212018-09-04T09:31:02Z Some renormings with the stable fixed point property T. Domínguez Benavides S. Phothi Mathematics In this paper, we prove that for any number λ < (√33-3)/2, any separable space X can be renormed in such a way that X satisfies the weak fixed point property for non-expansive mappings and this property is inherited for any other isomorphic space Y such that the Banach-Mazur distance between X and Y is less than λ. We also prove that any, in general nonseparable, Banach space with an extended unconditional basis can be renormed to satisfy the w-FPP with the same stability constant. 2018-09-04T09:31:02Z 2018-09-04T09:31:02Z 2013-12-17 Journal 20669208 15835022 2-s2.0-84890239898 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84890239898&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52721 |
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Chiang Mai University Library |
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Thailand |
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Mathematics |
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Mathematics T. Domínguez Benavides S. Phothi Some renormings with the stable fixed point property |
| description |
In this paper, we prove that for any number λ < (√33-3)/2, any separable space X can be renormed in such a way that X satisfies the weak fixed point property for non-expansive mappings and this property is inherited for any other isomorphic space Y such that the Banach-Mazur distance between X and Y is less than λ. We also prove that any, in general nonseparable, Banach space with an extended unconditional basis can be renormed to satisfy the w-FPP with the same stability constant. |
| format |
Journal |
| author |
T. Domínguez Benavides S. Phothi |
| author_facet |
T. Domínguez Benavides S. Phothi |
| author_sort |
T. Domínguez Benavides |
| title |
Some renormings with the stable fixed point property |
| title_short |
Some renormings with the stable fixed point property |
| title_full |
Some renormings with the stable fixed point property |
| title_fullStr |
Some renormings with the stable fixed point property |
| title_full_unstemmed |
Some renormings with the stable fixed point property |
| title_sort |
some renormings with the stable fixed point property |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84890239898&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52721 |
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