Rigid sets and nonexpansive mappings
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- by Giovanni DiLena, Basilio Messano and Delfina Roux PDF
- Proc. Amer. Math. Soc. 125 (1997), 3575-3580 Request permission
Abstract:
We introduce a new class of normed spaces (not necessarily finite dimensional), which contains the finite dimensional normed spaces with polyhedral norm. We study the properties of rigid sets of the spaces of this class and we apply the results to limit sets of the sequences of iterates of nonexpansive maps.References
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Additional Information
- Giovanni DiLena
- Affiliation: Dipartimento di Matematica dell’Università, Via G. Fortunato, Campus Universitario - 70125 Bari, Italy
- Basilio Messano
- Affiliation: Dipartimento di Matematica e Applicazioni “R. Caccioppoli” dell’Università, Via Claudio 21 - 80125 Napoli, Italy
- Delfina Roux
- Affiliation: Dipartimento di Matematica “F. Enriques” dell’Università, Via Saldini 50 - 20133 Milano, Italy
- Email: roux@vmimat.mat.unimi.it
- Additional Notes: This work was performed under the auspices of M.U.R.S.T
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3575-3580
- MSC (1991): Primary 47H09, 47H07, 47H10
- DOI: https://doi.org/10.1090/S0002-9939-97-04053-7
- MathSciNet review: 1415582