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Algebraic and analytic properties of semigroups related to fixed point properties of non-expansive mappings

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The purpose of this paper is to give an updated survey on various algebraic and analytic properties of semigroups related to fixed point properties of semigroup actions on a non-empty closed convex subset of a Banach space or, more generally, a locally convex topological vector space.

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Authors and Affiliations

  1. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB, T6G 2G1, Canada

    Anthony To-Ming Lau

  2. Department of Mathematics, University of Manitoba, Winnipeg, MB, R3T 2N2, Canada

    Yong Zhang

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  1. Anthony To-Ming Lau
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Correspondence to Anthony To-Ming Lau.

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Communicated by Jimmie D. Lawson.

Dedicated to Professor Karl H. Hofmann with admiration and respect.

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Anthony To-Ming Lau: Supported by NSERC Grant ZC912. Yong Zhang: Supported by NSERC Grant 1280813.

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Lau, A.TM., Zhang, Y. Algebraic and analytic properties of semigroups related to fixed point properties of non-expansive mappings. Semigroup Forum 100, 77–102 (2020). https://doi.org/10.1007/s00233-019-10048-7

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