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Generic Existence and Approximation of Fixed Points for Nonexpansive Set-valued Maps |
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| Authors: | Francesco S de Blasi Józef Myjak Simeon Reich Alexander J Zaslavski |
| Institution: | (1) Dipartimento di Matematica, Università degli Studi di Roma Tor Vergata, 00133 Rome, Italy;(2) Dipartimento di Matematica, Università degli Studi dell’Aquila, 67010 L’Aquila, Italy;(3) WMS AGH, 30059 Kraków, Poland;(4) Department of Mathematics, The Technion-Israel Institute of Technology, 32000 Haifa, Israel |
| Abstract: | We study nonexpansive set-valued maps in Banach and metric spaces. We are concerned, in particular, with the generic existence and approximation of fixed points, as well as with the structure of fixed point sets. |
| Keywords: | Baire category Complete metric space Fixed point Nonexpansive set-valued map |
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