Leray endomorphisms and cone maps
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 5 (1978) no. 1, p. 149-179
@article{ASNSP_1978_4_5_1_149_0,
     author = {Fournier, Gilles and Peitgen, Heinz-Otto},
     title = {Leray endomorphisms and cone maps},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola normale superiore},
     volume = {Ser. 4, 5},
     number = {1},
     year = {1978},
     pages = {149-179},
     zbl = {0394.55001},
     mrnumber = {474384},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_1978_4_5_1_149_0}
}
Fournier, Gilles; Peitgen, Heinz-Otto. Leray endomorphisms and cone maps. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 5 (1978) no. 1, pp. 149-179. http://www.numdam.org/item/ASNSP_1978_4_5_1_149_0/

[1] F.E. Browder, Another generalization of the Schauder fixed point theorem, Duke Math. J., 32 (1965), pp. 399-406. | MR 203718 | Zbl 0128.35901

[2] F.E. Browder, A further generalization of the Schauder fixed point theorem, Duke Math. J., 32 (1965), pp. 575-578. | MR 203719 | Zbl 0137.32601

[3] G. Darbo, Punti uniti in trasformazioni a condominio non compatto, Rend. Sem. Mat. Univ. Padova, 24 (1955), pp. 84-92. | Numdam | MR 70164 | Zbl 0064.35704

[4] J. Eells - G. Fournier, La théorie des points fixes des applications a itérée condensante, Journées Geom. dimens. infinie (1975 - Lyon), Bull. Soc. math. France, Memoire 46 (1976), pp. 91-120. | Numdam | MR 426043 | Zbl 0335.58006

[5] C.C. Fenske - H.-O. Peitgen, On fixed points of zero index in asymptotic fixed point theory, Pacific J. Math., 66 (1976), pp. 391-410. | MR 488034 | Zbl 0344.55006

[6] G. Fournier, Généralisations du théorème de Lefschetz pour des espaces non compacts, I, II, III, Bull. Acad. Polon. Sci., Ser. Math. Astronom. Phys., 23 (1973), pp. 693-711. | MR 377862

[7] G. Fournier - A. Granas, The Lefschetz fixed point theorem for some classes of non-metrizable spaces, J. Math. pures et appl., 52 (1973), pp. 271-284. | MR 339116 | Zbl 0294.54034

[8] G. Fournier - H.-O. Peitgen, On some fixed point principles for cones in linear normed spaces, Math. Ann., 225 (1977), pp. 205-218. | MR 433268 | Zbl 0325.47039

[9] A. Granas, Topics in the fixed point theory, Lecture Notes, 1970.

[10] A. Granas, The Leray-Schauder index and the fixed point theory for arbitrary ANR's, Bull. Soc. math. France, 100 (1972), pp. 209-228. | Numdam | MR 309102 | Zbl 0236.55004

[11] K. Kuratowski, Sur les espaces complets, Found. Math., 15 (1930), pp. 301-309. | JFM 56.1124.04

[12] M.A. Krasnosel'Ski, Fixed points of cone-compressing and cone-extending operators, Soviet Math. Dokl., 1 (1960), pp. 1285-1288. | MR 131158 | Zbl 0098.30902

[13] J. Leray, Théorie des points fixes: indice total et nombre de Lefsehetz, Bull. Soc. math. France, 87 (1959), pp. 221-233. | Numdam | MR 143202 | Zbl 0093.36702

[14] R.D. Nussbaum, The fixed point index for local condensing maps, Ann. Mat. Pura Appl., 89 (1971), pp. 217-258. | MR 312341 | Zbl 0226.47031

[15] R.D. Nussbaum, Some asymptotic fixed point theorems, Trans. Amer. Math. Soc., 171 (1972), pp. 349-375. | MR 310719 | Zbl 0256.47040

[16] R.D. Nussbaum, Periodic solutions of some nonlinear, autonomous functional differential equations, II, J. Diff. Eq., 14 (1973), pp. 360-394. | MR 372370 | Zbl 0311.34087

[17] R.D. Nussbaum, Periodic solutions of some nonlinear, autonomous functional differential equations, Ann. Mat. Pura Appl., 101 (1974), pp. 263-306. | MR 361372 | Zbl 0323.34061

[18] R.D. Nussbaum, Generalizing the fixed point index, Math. Ann., 228 (1977), pp. 259-278. | MR 440587 | Zbl 0365.58005

[19] H.-O. Peitgen, On continua of solutions for functional differential equations (to appear in Rocky Mountain J. Math.). | MR 486922 | Zbl 0374.47035

[20] H.H. Schaefer, Topological Vector Spaces, Springer-Verlag, New York, 1971. | MR 342978 | Zbl 0212.14001

[21] G.T. Whyburn, Topological Analysis, Princeton University Press, Princeton, N.J., 1958. | MR 99642 | Zbl 0080.15903