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Morales, Claudio

Remarks on pseudo-contractive mappings. (English) Zbl 0486.47030

J. Math. Anal. Appl. 87, 158-164 (1982).
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Cited in 3 Documents

MSC:

47H10 Fixed-point theorems

Keywords:

uniformly convex Banach space; nonexpansive mapping; Leray-Schauder boundary condition; fixed point; continuous pseudo-contractive mappings

Citations:

Zbl 0164.448; Zbl 0362.47023
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Full Text: DOI

References:

[1] Belluce, L. P.; Kirk, W. A., Fixed point theorems for certain classes of nonexpansive mappings, (Proc. Amer. Math. Soc., 20 (1969)), 141-146 · Zbl 0165.16801
[2] Browder, F. E., Nonlinear mappings of non-expansive and accretive type in Banach spaces, Bull. Amer. Math. Soc., 73, 875-882 (1967) · Zbl 0176.45302
[3] Browder, F. E., Semicontractive and semiaccretive non-linear mappings in Banach spaces, Bull. Amer. Math. Soc., 74, 660-665 (1968) · Zbl 0164.44801
[4] Gatica, J. A.; Kirk, W. A., Fixed point theorems for contraction mappings with applications to non-expansive and pseudo-contractive mappings, Rocky Mountain J. Math., 4, 69-79 (1974) · Zbl 0277.47034
[5] Kato, T., Nonlinear semigroups and evolution equations, J. Math. Soc. Japan, 19, 508-520 (1967) · Zbl 0163.38303
[6] Kirk, W. A., Mappings of generalized contractive type, J. Math. Anal. Appl., 32, 567-572 (1970) · Zbl 0213.14901
[7] Kirk, W. A.; Schöneberg, R., Some results on pseudocontractive mappings, Pacific J. Math., 71, 89-100 (1977) · Zbl 0362.47023
[8] Kirk, W. A.; Schöneberg, R., Zeros of \(m\)-accretive operators in Banach spaces, Israel J. Math., 35, 1-8 (1980) · Zbl 0435.47055
[9] Morales, C., Pseudo-contractive mappings and the LeraySchauder boundary condition, Comment. Math. Univ. Carolinae, 4, 745-756 (1979) · Zbl 0429.47021
[10] Petryshyn, W. V., Structure of the fixed point set of \(k\)-set-contraction, Arch. Rational Mech. Anal., 40, 312-328 (1970/1971) · Zbl 0218.47028
[11] Petryshyn, W. V., Fixed point theorems for various classes of 1-set-contractive and 1-ball-contractive mappings in Banach spaces, Trans. Amer. Math. Soc., 182, 323-352 (1973) · Zbl 0277.47033
[12] Schöneberg, R., Fixpunktsätre für einige Klassen kontraktionsartiger Operatoren in Banachräumen über einen Fixpunktindex, eine Zentrumsmethode und Fixpunkttheorie nichtexpansiver Abbildungen, (Ph. D. Thesis (1977), RWTH: RWTH Aachen)
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