Property (M) and the weak fixed point property
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- by Jesús Garcia Falset and Brailey Sims PDF
- Proc. Amer. Math. Soc. 125 (1997), 2891-2896 Request permission
Abstract:
It is shown that in Banach spaces with the property (M) of Kalton, nonexpansive self mappings of nonempty weakly compact convex sets necessarily have fixed points. The stability of this conclusion under renormings is examined and conditions for such spaces to have weak normal structure are considered.References
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Additional Information
- Jesús Garcia Falset
- Affiliation: Departament d’Anàlisi Matematica, Facultat de Matematiques, Universitat de València, Doctor Moliner 50, 46100 Burjassot, Spain
- Email: Jesus.Garcia@uv.es
- Brailey Sims
- Affiliation: Department of Mathematics, The University of Newcastle, New South Wales 2308, Australia
- Email: bsims@frey.newcastle.edu.au
- Received by editor(s): January 3, 1996
- Received by editor(s) in revised form: April 19, 1996
- Additional Notes: Partially supported by grant DGICYT PB-1177-c02-02 and a travel grant from the University of Newcastle.
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2891-2896
- MSC (1991): Primary 47H09, 47H10, 46B20
- DOI: https://doi.org/10.1090/S0002-9939-97-03953-1
- MathSciNet review: 1403125