Degree theory for noncompact multivalued vector fields
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- by W. V. Petryshyn and P. M. Fitzpatrick PDF
- Bull. Amer. Math. Soc. 79 (1973), 609-613
References
- Felix E. Browder, Nonlinear operators and nonlinear equations of evolution in Banach spaces, Nonlinear functional analysis (Proc. Sympos. Pure Math., Vol. XVIII, Part 2, Chicago, Ill., 1968) Amer. Math. Soc., Providence, R.I., 1976, pp. 1–308. MR 0405188
- Gabriele Darbo, Punti uniti in trasformazioni a codominio non compatto, Rend. Sem. Mat. Univ. Padova 24 (1955), 84–92 (Italian). MR 70164
- Massimo Furi and Alfonso Vignoli, On $\alpha$-nonexpansive mappings and fixed points, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8) 48 (1970), 195–198 (English, with Italian summary). MR 279792
- 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 (unbound insert) (English, with Russian summary). MR 0117588
- 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 (unbound insert) (French, with Russian summary). MR 0108743
- 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 246175, DOI 10.1090/S0002-9939-1969-0246175-1
- E. A. Lifšic and B. N. Sadovskiĭ, A fixed point theorem for generalized condensing operators, Dokl. Akad. Nauk SSSR 183 (1968), 278–279 (Russian). MR 0236789
- Tsoy-wo Ma, Topological degrees of set-valued compact fields in locally convex spaces, Dissertationes Math. (Rozprawy Mat.) 92 (1972), 43. MR 309103
- Roger D. Nussbaum, The fixed point index for local condensing maps, Ann. Mat. Pura Appl. (4) 89 (1971), 217–258. MR 312341, DOI 10.1007/BF02414948
- W. V. Petryshyn, Structure of the fixed points sets of $k$-set-contractions, Arch. Rational Mech. Anal. 40 (1970/71), 312–328. MR 273480, DOI 10.1007/BF00252680
- W. V. Petryshyn, A new fixed point theorem and its application, Bull. Amer. Math. Soc. 78 (1972), 225–229. MR 291920, DOI 10.1090/S0002-9904-1972-12930-6
- Simeon Reich, Fixed points in locally convex spaces, Math. Z. 125 (1972), 17–31. MR 306989, DOI 10.1007/BF01111112
- B. N. Sadovskiĭ, Measures of noncompactness and condensing operators, Problemy Mat. Anal. Slož. Sistem 2 (1968), 89–119 (Russian). MR 0301582
- B. N. Sadovskiĭ, Limit-compact and condensing operators, Uspehi Mat. Nauk 27 (1972), no. 1(163), 81–146 (Russian). MR 0428132
Additional Information
- 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