On the super fixed point property in product spaces |
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| Authors: | Andrzej Wi?nicki |
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| Institution: | Institute of Mathematics, Maria Curie-Sk?odowska University, 20-031 Lublin, Poland |
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| Abstract: | We prove that if F is a finite-dimensional Banach space and X has the super fixed point property for nonexpansive mappings, then F⊕X has the super fixed point property with respect to a large class of norms including all lp norms, 1?p<∞. This provides a solution to the “super-version” of the problem of Khamsi (1989). |
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| Keywords: | Super fixed point property Superreflexive space Nonexpansive mapping Direct sum Product space |
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