Abstract
It is shown that in many instances the fixed point property for nonexpansive mappings actually implies the fixed point property for a strictly larger family of mappings. This paper is largely expository, but some of the observations are not readily available, and some appear here for the first time. Several related open questions in are discussed. The emphasis is on accessible problems, especially those that require little background. The problems themselves have been given little thought and may be trivial or difficult.
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The research of K. Bolibokwas partially supported by the Ministry of Science and Higher Education, Poland, N N201 393737.
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Bolibok, K., Goebel, K. & Kirk, W.A. Remarks on the stability of the fixed point property for nonexpansive mappings. Arab. J. Math. 1, 417–430 (2012). https://doi.org/10.1007/s40065-012-0053-y
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DOI: https://doi.org/10.1007/s40065-012-0053-y