Some results concerning multi-valued mappings defined in Banach spaces

Mario Martelli

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1973)

  • Volume: 54, Issue: 6, page 865-871
  • ISSN: 0392-7881

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Martelli, Mario. "Some results concerning multi-valued mappings defined in Banach spaces." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 54.6 (1973): 865-871. <http://eudml.org/doc/293964>.

@article{Martelli1973,
author = {Martelli, Mario},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
number = {6},
pages = {865-871},
publisher = {Accademia Nazionale dei Lincei},
title = {Some results concerning multi-valued mappings defined in Banach spaces},
url = {http://eudml.org/doc/293964},
volume = {54},
year = {1973},
}

TY - JOUR
AU - Martelli, Mario
TI - Some results concerning multi-valued mappings defined in Banach spaces
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
PY - 1973
PB - Accademia Nazionale dei Lincei
VL - 54
IS - 6
SP - 865
EP - 871
LA - eng
UR - http://eudml.org/doc/293964
ER -

References

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  2. GRANAS, A. and JAWOROWSKI, J. W., Some theorems for multivalued mappings of subsets of the Euclidean space, «Bull. Ac. Pol. Sci., Sér. des sci. math., astr. et phys.», 7 (5), 277-284 (1959). Zbl0089.17902MR120627
  3. ROTHE, E., Theorie der topologischen Ordung und der Vectorfelder in Banachschen Räumen, «Compositio Mathem.», 5, 177-197 (1937). MR1556993
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  5. BOHNENBLUST, H. F. and KARLIN, S., On a theorem of Ville, Contribution to the theory of games. Vol. 1, 155-160, «Ann. of Math. Studies», 24, Princeton (1950). MR41415
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  8. BEGLE, E. G., The Vietoris mapping theorem for bicompact spaces, «Annales of Mathematics», 51, 534-543 (1950). Zbl0036.38803MR35015DOI10.2307/1969366
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  10. SCHAEFER, H., Über die Methode der a priori Schranken, «Math. Ann.», 129, 415-416 (1955). Zbl0064.35703MR71723DOI10.1007/BF01362380
  11. KURATOWSKI, C., Topologie, «Monografie Matematiczne», 20, Warzawa (1958). 
  12. MARTELLI, M. and VIGNOLI, A., Eigenvectors and surjectivity for α -Lipschitz mappings in Banach spaces, «Ann. di Mat. Pura ed Appl.» (to appear). MR315539DOI10.1007/BF02413598
  13. MARTELLI, M., A lemma on maps of a compact topological space and an application to fixed point theory, «Atti Acc. Naz. Lincei», ser. VIII, 49, 128-129 (1970). MR295324
  14. KRASNOSELSKIJ, M., New existence theorems for solutions of nonlinear integral equations, «Dokl. Acad. Nauk. SSSR.», 88, 949-952 (1953). MR55578
  15. PETRYSHYN, W. V., Structure of the fixed points set of k-set contractions, «Archiv. Rat. Mech. Anal.», 40 (4), 312-328 (1971). Zbl0218.47028MR273480DOI10.1007/BF00252680
  16. KNASTER, B., KURATOWSKI, C. and MAZURKIEWICZ, S., Ein Beweis des Fixpunktsatzes für n-dimensionale simplexe, «Fund. Math.», 14, 132-137 (1929). Zbl55.0972.01
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