A Remark on Set-Valued Mappings that Satisfy the Leray-Schauder Condition

Simeon Reich

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1976)

  • Volume: 61, Issue: 3-4, page 193-194
  • ISSN: 0392-7881

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Reich, Simeon. "A Remark on Set-Valued Mappings that Satisfy the Leray-Schauder Condition." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 61.3-4 (1976): 193-194. <http://eudml.org/doc/291076>.

@article{Reich1976,
author = {Reich, Simeon},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {10},
number = {3-4},
pages = {193-194},
publisher = {Accademia Nazionale dei Lincei},
title = {A Remark on Set-Valued Mappings that Satisfy the Leray-Schauder Condition},
url = {http://eudml.org/doc/291076},
volume = {61},
year = {1976},
}

TY - JOUR
AU - Reich, Simeon
TI - A Remark on Set-Valued Mappings that Satisfy the Leray-Schauder Condition
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1976/10//
PB - Accademia Nazionale dei Lincei
VL - 61
IS - 3-4
SP - 193
EP - 194
LA - eng
UR - http://eudml.org/doc/291076
ER -

References

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  1. FAN, K. (1952) - Fixed point and minimax theorems in locally convex topological linear spaces, «Proc. Nat. Acad. Sci. U.S.A», 38, 121-126. Zbl0047.35103MR47317
  2. FITZPATRICK, P. M. and PETRYSHYN, W. V. (1974) - Fixed point theorems for multivalued noncompact acyclic mappings, «Pacific J. Math.», 54, 17-23. Zbl0312.47047MR405179
  3. FITZPATRICK, P. M. and PETRYSHYN, W. V. (1975) - Fixed point theorems and the fixed point index for multivalued mappings in cones, «J. London Math. Soc.», (2) 12, 75-85. Zbl0329.47022MR405180DOI10.1112/jlms/s2-12.1.75
  4. FURI, M. and MARTELLI, M. (1974) - A degree for a class of acyclic-valued vector fields in Banach spaces, «Ann. Scuola Norm. Sup. Pisa», (4) 1, 301-310. Zbl0306.55009MR380874
  5. GLICKSBERG, I. L. (1952) - A further generalization of the Kakutani fixed point theorem, with application to Nash equilibrium points, «Proc. Amer. Math. Soc.», 3, 170-174. Zbl0046.12103MR46638DOI10.2307/2032478
  6. HIMMELBERG, C. J. (1972) - Fixed points of compact multifunctions, «J. Math. Anal, Appl.», 38, 205-207. MR303368DOI10.1016/0022-247X(72)90128-X
  7. MARTELLI, M. (1973) - Some results concerning multi-vahied mappings defined in Banach spaces, «Atti Accad. Naz. Lincei, Rend. Cl. Sci. fis. mat. nat.», 54, 865-871. MR358462
  8. MARTELLI, M. (1975) - A Rothe's type theorem for non-compact acyclic-valued maps, «Boll. Un. Mat. Ital.», 11 (3), 70-76. Zbl0314.47035MR394752
  9. REICH, S. (1972) - Fixed points in locally convex spaces, «Math. Z.», 125, 17-31. Zbl0216.17302MR306989DOI10.1007/BF01111112
  10. SU, C. H. and SEHGAL, V. M. (1975) - Some fixed point theorems for condensing multifunctions in locally convex spaces, «Proc. Amer. Math. Soc.», 50, 150-154. Zbl0326.47056MR380530DOI10.2307/2040531

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