| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 844641 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 11 Pages |
Abstract
We present a study on the structure of fixed-point sets of nonexpansive mappings in nonstandard hulls (Banach space ultrapowers), initiated by the result of Maurey (1981) about metric convexity of FixT˜. Our main motivation is a long-standing problem concerning the existence of common approximate fixed points for a family of commuting nonexpansive mappings.
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Authors
Andrzej Wiśnicki,