Geodesic
A Uniformly Asymptotically Regular Mapping Without Fixed Points
Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 481-483

Voir la notice de l'article provenant de la source Cambridge University Press

We construct a uniformly asymptotically regular, Lipschitzian mapping acting on a weakly compact convex subset of l 2 which has no fixed points.
DOI : 10.4153/CMB-1987-071-6
Mots-clés : Uniformly asymptotically regular, fixed point, Lipschitzian, 47H10 
Lin, Pei-kee. A Uniformly Asymptotically Regular Mapping Without Fixed Points. Canadian mathematical bulletin, Tome 30 (1987) no. 4, pp. 481-483. doi: 10.4153/CMB-1987-071-6
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[1] 1. Browder, F.E., Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. U.S.A., 54 (1965), pp. 1041–1044. Google Scholar

[2] 2. Edelstein, M. and Kiang, M.T., On ultimately nonexpansive semigroups, Pacific J. Math. 101 (1982), pp. 93–102. Google Scholar

[3] 3. Edelstein, M. and O'Brien, R. C., Nonexpansive mappings, asymptotic regularity and successive approximations, J. London Math. Soc. (2) 17 (1978), pp. 547–554. Google Scholar

[4] 4. Goebel, K. and Kirk, W.A., A fixed point theorem for asymptotically nonexpanisve mappings, Proc. Amer. Math Soc. 35 (1972), pp. 171–174. Google Scholar

[5] 5. Kiang, M.T. and Tan, K.K., Fixed point theorems for proximately nonexpansive semigroups, Canad. Math. Bull. 29 (2) (1986), pp. 160–166. Google Scholar

[6] 6. Kirk, W.A., Fixed point theory for nonexpansive mappings I, II, Lecture Notes in Math . 886, Springer, Berlin, 1981, pp. 484–505 and Contemporary Math #18 AMS Providence, RI 1983, pp. 121–140. Google Scholar

[7] 7. Reich, S., The fixed point problem for nonexpansive mappings I, II, Amer. Math. Monthly 83 (1976), pp. 266–268 and 87 (1980), pp. 292-294. Google Scholar

[8] 8. Tingley, D., An asymptotically nonexpansive commutative semigroup with no fixed points, Proc. AMS 97 (1986), pp. 107–113. Google Scholar

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