Fixed point theorems for generalized contractions
Reinermann, Jochen
Commentationes Mathematicae Universitatis Carolinae, Tome 013 (1972), p. 617-627 / Harvested from Czech Digital Mathematics Library
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Publié le : 1972-01-01
Classification:  47H10 
@article{105446,
     author = {Jochen Reinermann},
     title = {Fixed point theorems for generalized contractions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {013},
     year = {1972},
     pages = {617-627},
     zbl = {0256.47039},
     mrnumber = {0336470},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105446}
}

Reinermann, Jochen. Fixed point theorems for generalized contractions. Commentationes Mathematicae Universitatis Carolinae, Tome 013 (1972) pp. 617-627. http://gdmltest.u-ga.fr/item/105446/

S. Fučík Fixed point theorems for sum of nonlinear mappings, Comment. Math. Univ. Carolinae 9 (1968), 133-143. (1968) | MR 0233245

F. E. Browder Semicontractive and semiaccretive nonlinear mappings in Banach spaces, Bull. Amer. Math. Soc. 74 (1968), 660-665. (1968) | MR 0230179 | Zbl 0164.44801

W. A. Kirk On nonlinear mappings of strongly semicontractive type, J. Math. Anal. Appl. 27 (1969), 409-412. (1969) | MR 0244814 | Zbl 0183.15103

W. A. Kirk Mappings of generalized type, J. Math. Anal. Appl. 32 (1970), 567-572. (1970) | MR 0271794

M. A. Krasnoselski Two remarks on the method of successive approximations, Uspehi Mat. Nauk 10, No 1 (63) (1955), 123-127. (1955) | MR 0068119

W. V. Petryshyn Structure of the fixed point sets of k-set-contractions, Arch. Rat. Mech. Anal. 40 (1971), 312-328. (1971) | MR 0273480

W. V. Petryshyn A new fixed point theorem and its application, Bull. Amer. Math. Soc. 78 (1972), 225-229. (1972) | MR 0291920 | Zbl 0231.47030

J. Reinermann Fixpunktsätze vom Krasnoselski-Typ, Math. Z. 119 (1971), 339-344. (1971) | MR 0278142 | Zbl 0204.45802

J. Reinermann Über Fixpunkte kontrahierender Abbildungen in uniformen Räumen und deren Darstellung durch konvergente Iterationsverfahren, Ber. d. Ges. f. Math. u. Datenverarb. Bonn, Nr 4, 1968. (1968) | MR 0247543 | Zbl 0183.15101

A. E. Taylor Introduction to Functional Analysis, John Wiley & Sons, Inc., London - Sydney, sixth printing 1967. (1967) | MR 0098966