Uniformly normal structure and fixed points of uniformly Lipschitzian mappings
Commentationes Mathematicae Universitatis Carolinae (1987)
- Volume: 028, Issue: 3, page 481-489
- ISSN: 0010-2628
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topGórnicki, Jarosław. "Uniformly normal structure and fixed points of uniformly Lipschitzian mappings." Commentationes Mathematicae Universitatis Carolinae 028.3 (1987): 481-489. <http://eudml.org/doc/17564>.
@article{Górnicki1987,
author = {Górnicki, Jarosław},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {uniformly normal structure; Banach measure; fixed point},
language = {eng},
number = {3},
pages = {481-489},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Uniformly normal structure and fixed points of uniformly Lipschitzian mappings},
url = {http://eudml.org/doc/17564},
volume = {028},
year = {1987},
}
TY - JOUR
AU - Górnicki, Jarosław
TI - Uniformly normal structure and fixed points of uniformly Lipschitzian mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 3
SP - 481
EP - 489
LA - eng
KW - uniformly normal structure; Banach measure; fixed point
UR - http://eudml.org/doc/17564
ER -
References
top- J. B. BAILLON, Quelques aspects de la théorie des pointes fixes dans les espaces de Banach I, Séminaire d'Analyse Fonctionnelle, VII, Ecole Polytechnique, Palaiseau, France, 1978-79. (1978)
- J. B. BAILLON R. SCHÖNEBERG, Asymptotic normal structure and fixed points of nonexpansive maps, Proc. Amer. Math. Soc. 81 (1981), 257-264. (1981) MR0593469
- W. L. BYNUM, Normal structure coefficients for Banach spaces, Pacific J. Math. 86 (1980), 427-436. (1980) Zbl0442.46018MR0590555
- E. CASINI E. MALUTA, Fixed points of uniformly Liptschitzian mappings in spaces with uniformly normal structure, Nonlinear Analysis TMA, 9, no 1 (1985), 103-108. (1985) MR0776365
- D. DOWNING B. TURETT, Some properties of the characteristic of convexity relating to fixed point theory, Pacific J. Math. 104 (1983), 343-350. (1983) MR0684294
- A. A. GILLESPIE B. B. WILLIAMS, Fixed point theorem for nonexpansive mappings on Banach spaces with uniformly normal structure, Appl. Anal. 9 (1979). 121-124. (1979) MR0539537
- K. GOEBEL W. A. KIRK, A fixed point theorem for transformations whose iterates have uniform Lipschitz constant, Studia Math. 47 (1973), 135-140. (1973) MR0336468
- K. GOEBEL W. A. KIRK R. L. THELE, Unfiromly Lipschitzian families of transformations in Banach spaces, Can. J. Math. 26 (1974), 1245-1256. (1974) MR0358453
- J. GÓRNICKI M. KRÜPPEL, A Banach measure and fixed points of uniformly Lipschitzian mappings in Banach spaces, Bull. Polish Acad. Sci. (to appear). MR0998208
- W. A. KIRK, Nonexpansive mappings and normal structures in Banach spaces, Proc. of Research Workshop on Banach space theory, The University of Iowa, 1981, 113-127. (1981) MR0724109
- M. KRÜPPEL J. GÓRNICKI, Ein masstheoretischer Fixpunktsatz für nichtlineare Operatoren im Hilbert Raum, Wiss. Z. Pädagog. Hochsch. "Liselotte Hennam" Güstrow, Math, Nat. Fak., Heft 1/1086, 59-66. MR0895133
- E. A. LIFSCHITZ, Fixed point theorem for operators in strongly convex spaces, Voronež Gos. Univ., Trudy Mat. Fak. 16 (1975), 23-2B (in Russian). (1975)
- T. C. LIM, Fixed point theorems for uniformly Lipschitzian mappings in spaces, Nonlinear Analysis TMA 7 (1983), 555-563. (1983) MR0698365
- E. MALUTA, Uniformly normal structure and related coefficients, Pacific J. Math. 111, no 2 (1984), 357-369. (1984) Zbl0495.46012MR0734861
- S. SWAMINATHAN, Normal structure in Banach spaces and its generalizations, Contemporary Math. 18 (1983), 201-215. (1983) MR0728601
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