Abstract
Let T be a nonexpansive mapping on a strictly convex and smooth Banach space X. It is shown, that T(ty)=ty for any t ε R implies T(x+y)=(Tx)+y for any x ε X.
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References
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© 1992 Springer-Verlag
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Wittmann, R. (1992). Fixed point rays of nonexpansive mappings. In: Krengel, U., Richter, K., Warstat, V. (eds) Ergodic Theory and Related Topics III. Lecture Notes in Mathematics, vol 1514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097541
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DOI: https://doi.org/10.1007/BFb0097541
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