Abstract
Over the last two decades ultrapower techniques have become major tools for the development and understanding of metric fixed point theory. In this short chapter we develop the Banach space ultrapower and initiate its use in studying the weak fixed point property for nonexpansive mappings. For a more extensive and detailed treatment than is given here the reader is referred to [1] and [21].
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Khamsi, M.A., Sims, B. (2001). Ultra-Methods in Metric Fixed Point Theory. In: Kirk, W.A., Sims, B. (eds) Handbook of Metric Fixed Point Theory. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1748-9_6
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DOI: https://doi.org/10.1007/978-94-017-1748-9_6
Publisher Name: Springer, Dordrecht
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