Some fixed point theorems
HTML articles powered by AMS MathViewer
- by Roger D. Nussbaum PDF
- Bull. Amer. Math. Soc. 77 (1971), 360-365
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
- Felix E. Browder, Asymptotic fixed point theorems, Math. Ann. 185 (1970), 38–60. MR 275408, DOI 10.1007/BF01350760
- Gabriele Darbo, Punti uniti in trasformazioni a codominio non compatto, Rend. Sem. Mat. Univ. Padova 24 (1955), 84–92 (Italian). MR 70164
- J. Dugundji, An extension of Tietze’s theorem, Pacific J. Math. 1 (1951), 353–367. MR 44116, DOI 10.2140/pjm.1951.1.353
- R. L. Frum-Ketkov, Mappings into a sphere of a Banach space, Dokl. Akad. Nauk SSSR 175 (1967), 1229–1231 (Russian). MR 0220114
- W. A. Horn, Some fixed point theorems for compact maps and flows in Banach spaces, Trans. Amer. Math. Soc. 149 (1970), 391–404. MR 267432, DOI 10.1090/S0002-9947-1970-0267432-1
- G. Stephen Jones, Asymptotic fixed point theorems and periodic systems of functional-differential equations, Contributions to Differential Equations 2 (1963), 385–405. MR 158135
- G. Stephen Jones, Stability and asymptotic fixed-point theory, Proc. Nat. Acad. Sci. U.S.A. 53 (1965), 1262–1264. MR 180728, DOI 10.1073/pnas.53.6.1262
- M. A. Krasnosel′skiĭ, The operator of translation along the trajectories of differential equations, Translations of Mathematical Monographs, Vol. 19, American Mathematical Society, Providence, R.I., 1968. Translated from the Russian by Scripta Technica. MR 0223640
- Jean Leray, Théorie des points fixes: indice total et nombre de Lefschetz, Bull. Soc. Math. France 87 (1959), 221–233 (French). MR 143202, DOI 10.24033/bsmf.1519
- Roger D. Nussbaum, The fixed point index and asymptotic fixed point theorems for $k$-set-contractions, Bull. Amer. Math. Soc. 75 (1969), 490–495. MR 246285, DOI 10.1090/S0002-9904-1969-12213-5 12. R. D. Nussbaum, The fixed point index and fixed point theorems for k-set-contractions, Ph.D. Dissertation, University of Chicago, Chicago, Ill., 1969 (unpublished).
- Roger D. Nussbaum, Asymptotic fixed point theorems for local condensing maps, Math. Ann. 191 (1971), 181–195. MR 298502, DOI 10.1007/BF01578707 14. H. Steinlein, Zur Existenz von Fixpunkten bei Abbildungen mit vollstetigen Iterierten, Ph.D. Dissertation, University of Munich, 1970.
- Taro Yoshizawa, Stable sets and periodic solutions in a perturbed system, Contributions to Differential Equations 2 (1963), 407–420. MR 158136
Additional Information
- Journal: Bull. Amer. Math. Soc. 77 (1971), 360-365
- MSC (1970): Primary 4785, 4780; Secondary 5485
- DOI: https://doi.org/10.1090/S0002-9904-1971-12694-0
- MathSciNet review: 0284888