Pseudo-contractive mappings and the Leray-Schauder boundary condition
Commentationes Mathematicae Universitatis Carolinae, Tome 20 (1979) no. 4, pp. 745-756 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 47H09, 47H10, 47H15
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Morales, Claudio H. Pseudo-contractive mappings and the Leray-Schauder boundary condition. Commentationes Mathematicae Universitatis Carolinae, Tome 20 (1979) no. 4, pp. 745-756. http://geodesic.mathdoc.fr/item/CMUC_1979_20_4_a9/

[1] F. E. BROWDER: Nonlinear mappings of nonexpansive and accretive type in Banach space. Bull. Amer. Math. Soc. 73 (1967), 875-881. | MR

[2] F. E. BROWDER: Semicontractive and semiaccretive nonlinear mappings in Banach spaces. Bull. Amer. Math. Soc. 74 (1968), 660-665. | MR | Zbl

[3] K. DEIMLING: Zeros of accretive operators. Manuscripta Math. 13 (1974), 365-374. | MR | Zbl

[4] J. A. GATICA W. A. KIRK: Fixed point theorems for contraction mappings with nonexpansive and pseudocontractive mappings. Rocky Mountain J. Math. 4 (1974), 69-79. | MR

[5] T. KATO: Nonlinear semigroup and evolution equations. J. Math. Soc. Japan 19 (1967), 508-520. | MR

[6] W. A. KIRK: Remarks on pseudo-contractive mappings. Proc. Amer. Math. Soc. 25 (1970), 820-823. | MR | Zbl

[7] W. A. KIRK C. MORALES: Condensing mappings and the Leray-Schauder boundary condition. J. Nonlinear Analysis (to appear). | MR

[8] W. A. KIRK R. SCHÖNEBERG: Some results on pseudo-contractive mappings. Pacific J. Math. 71 (1977), 98-100. | MR

[9] R. H. MARTIN: Differential equations on closed subset of a Banach space. Trans. Amer. Math. Soc. 179 (1973), 399-414. | MR

[10] G. MÜLLER J. REINERMANN: Fixed point theorems for pseudo-contractive mappings and a counterexample for compact maps. Comment. Math. Univ. Carolinae 18 (1977), 281-298. | MR

[11] R. D. NUSSBAUM: The fixed point index and fixed point theorems for k-set-contractions. Ph.D. Thesis, University of Chicago, Chicago, III., 1969.

[12] W. V. PETRYSHYN: Structure of the fixed point sets of $k$-set-contractions. Arch. Rat. Mech. Anal. 40 (1971), 312-328. | MR

[13] W. V. PETRYSHYN: Fixed point theorems for various classes of $1$-set-contractive and $1$-ball-contractive mappings in Banach spaces. Trans. Amer. Math. Soc. 182 (1973), 323-352. | MR | Zbl

[14] R. SCHÖNEBERG: Fixpunktsätze für einige Klassen kontraktionsartiger Operatoren in Banachräumen über einen Fixpunktindex, eine Zentrumsmethode und Fixpunkttheorie nichtexpansiver Abbildungen. Ph.D. Thesis, RWTH Aachen, 1977.