Pei-Kee Lin
Abstract
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We prove that any Banach space X X whose Banach-Mazur distance to a Hilbert space is less than 5 + 13 2 \sqrt {\frac {5+\sqrt {13}}{2} } has the fixed point property for nonexpansive mappings.
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We prove that any Banach space X X whose Banach-Mazur distance to a Hilbert space is less than 5 + 13 2 \sqrt {\frac {5+\sqrt {13}}{2} } has the fixed point property for nonexpansive mappings.
Key concepts: Property (philosophy), Mathematics, Fixed point, Hilbert space, Stability (learning theory), Fixed-point property, Pure mathematics, Mathematical analysis