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Degree theory for noncompact multivalued vector fields


Authors: W. V. Petryshyn and P. M. Fitzpatrick
Journal: Bull. Amer. Math. Soc. 79 (1973), 609-613
MSC (1970): Primary 47H10; Secondary 47H99
DOI: https://doi.org/10.1090/S0002-9904-1973-13226-4
MathSciNet review: 0317117
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  • 1. F. E. Browder, Nonlinear operators and nonlinear equations of evolution in Banach spaces, Proc. Sympos. Pure Math., vol. 18, part 2, Amer. Math. Soc. Providence, R. l. (to appear). MR 405188
  • 2. G. Darbo, Punti uniti in transformazioni a condominio non compatto, Rend. Sem. Mat. Univ. Padova 24 (1955), 84-92. MR 16, 1140. MR 70164
  • 3. M. Furi and A. Vignoli, On α-nonexpansive mappings and fixed points, Rend. Accad. Naz. Lincei 48 (1970), 195-198. MR 279792
  • 4. A. Granas, Theorem on antipodes and theorems on fixed points for a certain class of multi-valued mappings in Banach spaces, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 7 (1959), 271-275. MR 22 #8365. MR 117588
  • 5. A. Granas, Sur la notion du degré topologique pour une certaine classe de transformations multivalentes dans les espaces de Banach, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 7 (1959), 191-194. MR 21 #7457. MR 108743
  • 6. C. J. Himmelberg, J. R. Porter and F. S. Van Vleck, Fixed point theorems for condensing multifunctions, Proc. Amer. Math. Soc. 23 (1969), 635-641. MR 39 #7480. MR 246175
  • 7. E. A. Lifšic and B. N. Sadovsky, A fixed-point theorem for generalized condensing operators, Dokl. Akad. Nauk SSSR 183 (1968), 278-279 = Soviet Math. Dokl. 9 (1968), 1370-1372. MR 38 #5083. MR 236789
  • 8. T. W. Ma, Topological degrees of set-valued compact vector fields in locally convex spaces, Dissertiones Math. 92 (1972), 1-43. MR 309103
  • 9. R. D. Nussbaum, The fixed point index for local condensing maps, Ann. Mat. Pura Appl. 89 (1971), 217-258. MR 312341
  • 10. W. V. Petryshyn, Structures of the fixed point sets of k-set-contractions, Arch. Rational Mech. Anal. 40 (1971), 312-328. MR 273480
  • 11. W. V. Petryshyn, A new fixed point theorem and its applications, Bull. Amer. Math. Soc. 78 (1972), 225-230. MR 291920
  • 12. S. Reich, Fixed points in locally convex spaces, Math. Z. 125 (1972), 17-31. MR 306989
  • 13. B. N. Sadovsky, Measures of noncompactness and condensing operators, Problemy Mat. Anal. Slož. Sistem. 2 (1968), 89-119. (Russian) MR 301582
  • 14. B. N. Sadovsky, Ultimately compact and condensing mappings, Uspehi Mat. Nauk 27 (1972), 81-146. (Russian) MR 428132

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DOI: https://doi.org/10.1090/S0002-9904-1973-13226-4

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