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Fixed points of uniformly Lipschitzian mappings in spaces with uniformly normal structure. (English) Zbl 0526.47034


MSC:

47H10 Fixed-point theorems
46B20 Geometry and structure of normed linear spaces
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[2] Baillon, J. B., Quelques aspects de la théorie des pointes fixes dans les éspaces de Banach I, (Seminaire d’Analyse Fonctionnelle, 7 (1978-1979), École Polytechnique: École Polytechnique Palaiseau, France) · Zbl 0414.47039
[3] Baillon, J. B.; Schöneberg, R., Asymptotic normal structure and fixed points of nonexpansive maps, Proc. Am. math. Soc., 81, 257-264 (1981) · Zbl 0465.47038
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[10] Lifschitz, E. A., Fixed point theorems for operators in strongly convex spaces, Voronez̆ Gos. Univ. Trudy Math. Fak., 16, 23-28 (1975), (In Russian.)
[11] Lim, T. C., Fixed point theorems for uniformly Lipschitzian mappings in \(L^p\) spaces, Nonlinear Analysis, 7, 555-563 (1983) · Zbl 0533.47049
[12] Maluta, E., Uniformly normal structure and related coefficients, Pacif. J. Math., 111, 357-369 (1984) · Zbl 0495.46012
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