There is an equivalent norm on ℓ1 that has the fixed point property

Nonlinear Analysis, Theory, Methods and Applications

Volumn 68, Issue 8, 2008, Pages 2303-2308

  Lin, Pei Kee ^a  

^a University of Memphis   (United States)

Author keywords

Fixed point property; Nonexpansive mapping

Indexed keywords

CONFORMAL MAPPING; MATHEMATICAL OPERATORS; NONLINEAR SYSTEMS;

FIXED POINT PROPERTY; NONEXPANSIVE MAPPING;

LOGIC PROGRAMMING;

EID: 39749104113     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2007.01.050     Document Type: Article

References (10)

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2. 1 [0, 1] fails the fixed point property. Proc. Amer. Math. Soc. 125 (1997) 143-146
3. Dowling P.N., Lennard C.J., and Turett B. Reflexivity and the fixed point property for nonexpansive maps. J. Math. Anal. Appl. 200 (1997) 443-446
4. 0 and fixed point properties. Handbook of Metric Fixed Point Theory (2001), Kluwer Acad. Publ., Dordrecht 269-297
5. 0. Proc. Amer. Math. Soc. 132 (2004) 1659-1666
6. Goebel K., and Kirk W.A. Topics in Metric Fixed Point Theory (1990), Cambridge Univ. Press, Cambridge
7. Karlovitz L.A. Some fixed point results for nonexpansive mappings. Fixed Point Theory and its Applications (1975), Academic Press
8. Kirk W.A. A fixed point theorem for mapping which do not increase distances. Amer. Math. Monthly 72 (1965) 1004-1006
9. Kirk W.A., and Sims B. Handbook of Metric Fixed Point Theory (2001), Kluwer Acad. Publ., Dordrecht
10. 1, in: Seminaire d'Analyse Fonctionelle, vol. 80-81, Ecole Polytechnique Palaiseau, 1981