Uniformly normal structure and fixed points of uniformly Lipschitzian mappings

Jarosław Górnicki

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 3, page 481-489
  • ISSN: 0010-2628

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Górnicki, 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

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  1. 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) 
  2. J. B. BAILLON R. SCHÖNEBERG, Asymptotic normal structure and fixed points of nonexpansive maps, Proc. Amer. Math. Soc. 81 (1981), 257-264. (1981) MR0593469
  3. W. L. BYNUM, Normal structure coefficients for Banach spaces, Pacific J. Math. 86 (1980), 427-436. (1980) Zbl0442.46018MR0590555
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. J. GÓRNICKI M. KRÜPPEL, A Banach measure and fixed points of uniformly Lipschitzian mappings in Banach spaces, Bull. Polish Acad. Sci. (to appear). MR0998208
  10. 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
  11. 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
  12. 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) 
  13. T. C. LIM, Fixed point theorems for uniformly Lipschitzian mappings in L p spaces, Nonlinear Analysis TMA 7 (1983), 555-563. (1983) MR0698365
  14. E. MALUTA, Uniformly normal structure and related coefficients, Pacific J. Math. 111, no 2 (1984), 357-369. (1984) Zbl0495.46012MR0734861
  15. S. SWAMINATHAN, Normal structure in Banach spaces and its generalizations, Contemporary Math. 18 (1983), 201-215. (1983) MR0728601

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