Geodesic
On the Lefschetz fixed point theorem
Mathematica slovaca, Tome 52 (2002) no. 2, pp. 221-233
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Classification : 47H10, 47H11, 54H25, 55M20 
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Górniewicz, Lech. On the Lefschetz fixed point theorem. Mathematica slovaca, Tome 52 (2002) no. 2, pp. 221-233. http://geodesic.mathdoc.fr/item/MASLO_2002_52_2_a8/

[1] ANDRES J., JEZIERSKI J., GÓRNIEWICZ L.: Relative versions of the multivalued Lefschetz and Nielsen theorems and their application to admissible semi-flows. Topol. Methods Nonlinear Anal. 16 (2000), 73-92; Periodic points of multivalued mappings with applications to differential inclusions, Topology Appl. (To appear). | MR | Zbl

[2] BORSUK K.: Theory of Retracts. PWN, Warszawa, 1966. | MR

[3a] BOWSZYC C.: Fixed point theorem for the pairs of spaces. Bull. Polish Acad. Sci. Math. 16 (1968), 845-851; 17 (1969), 367-372. | MR

[3b] BOWSZYC C.: On the Euler-Poincairé characteristic of a map and the existence of periodic points. Bul. Polish Acad. Sci. Math. 17 (1969), 367-372. | MR

[4] BROWN R. F.: The Lefschetz Fixed Point Theorem. Scott, Foresman and Co., Glenview Ill.-London, 1971. | MR | Zbl

[5] FOURNIER G.: Généralisations du théoremé de Lefschetz pour des espaces noncompacts I; II; III. Bull. Polisһ Acad. Sci. Math. 23 (1975), 693-699; 701-706; 707-711.

[6a] FOURNIER G., GÓRNIEWICZ L.: The Lefschetz fixed point theorem for some noncompact multivalued maps. Fund. Matһ. 94 (1977), 245-254; | MR

[6b] FOURNIER G., GÓRNIEWICZ L.: The Lefschetz fixed point theorem for multivalued maps of non-metrizable spaces. Fund. Matһ. 92 (1976), 213-222; 94 (1977), 245-254.

[7] FOURNIER G., VIOLEТТE D.: A fixed point index for compositions of acyclic multivalued maps in Banach spaces. Тhe MSRI-Korea Publications 1 (1966), 139-158; Ann. Sci. Math. Québec 22 (1998), 225-244. | MR

[8] GÓRNIEWICZ L.: Homological methods in fixed point theory of multivalued rnappings. Dissertationes Math. (Rozprawy Mat.) 129 (1976), 1-71. | MR

[9] GÓRNIEWICZ L.: Topological Fixed Point Theory of Multivalued Mappings. Kluwer, Dordrеcht, 1999. | Zbl

[10] GÓRNIEWICZ L., GRANAS A.: On the theorem of C. Bowszyc concerning the relative version of the Lefschetz fixed point theorem. Bull. Inst. Math. Acad. Sinica 12 (1975), 137-142. | MR

[11] GRANAS A.: Generalizing the Hopf-Lefschetz fixed point theorem for noncompact ANR's. In: Symp. Inf. Dim. Тopol., Báton-Rougе, 1967.

[12] GRANAS A.: Thе Leray-Schauder index and the fixed point theory for arbitrary ANR's. Bull. Soc. Matһ. Francе 100 (1972), 209-228. | MR

[13] KRYSZEWSKI W.: Thе Lefschetz type theorem for a class of noncompact mapping. Suppl. Rеnd. Circ. Mat. Palеrmo (2) 14 (1987), 365-384. | MR

[14] NUSSBAUM R.: Generalizing the fixed point index. Matһ. Ann. 228 (1979), 259-278. In: Lеcturе Notеs in Math. 1537, Springеr Vеrlag, Nеw York, 1991. | MR

[15] PASТOR D.: A remark on generalized compact maps. Studiеs Univ. Žilina 13 (2001), 147-155.

[16] SRZEDNICKI R.: Generalized Lefschetz theorem and fixed point index formula. Тopology Appl. 81 (1997), 207-224. | MR

[17] ŠEDA V.: On condensing discrete dynamical systems. Math. Bohеmica (Тo appеar). | Zbl

[18] THOMPSON R. B.: A unified approach to local and global fixed point indices. Adv. Math. 3 (1969), 1-71. | MR | Zbl