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Nonexpansive Mappings in Locally Convex Spaces
Published online by Cambridge University Press: 20 November 2018
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Recently Bruck initiated the study of the structure of the fixed-point set of a nonexpansive selfmap T of a Banach space, where T satisfies a conditional fixed point property. We generalize many of his results to a Hausdorff locally convex space X. Also, we generalize a result of Holmes and Narayanaswami and use it, along with a procedure of Kiang, to obtain a fixed point theorem for families of asymptotically nonexpansive mappings in X.
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- Research Article
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- Copyright © Canadian Mathematical Society 1977