Geodesic
Fixed point theorems for generalized contractions
Commentationes Mathematicae Universitatis Carolinae, Tome 13 (1972) no. 4, pp. 617-627

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

MR   Zbl

Classification : 47H10 
Reinermann, Jochen. Fixed point theorems for generalized contractions. Commentationes Mathematicae Universitatis Carolinae, Tome 13 (1972) no. 4, pp. 617-627. http://geodesic.mathdoc.fr/item/CMUC_1972_13_4_a1/
@article{CMUC_1972_13_4_a1,
     author = {Reinermann, Jochen},
     title = {Fixed point theorems for generalized contractions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {617--627},
     year = {1972},
     volume = {13},
     number = {4},
     mrnumber = {0336470},
     zbl = {0256.47039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1972_13_4_a1/}
}
TY  - JOUR
AU  - Reinermann, Jochen
TI  - Fixed point theorems for generalized contractions
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1972
SP  - 617
EP  - 627
VL  - 13
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMUC_1972_13_4_a1/
LA  - en
ID  - CMUC_1972_13_4_a1
ER  - 
%0 Journal Article
%A Reinermann, Jochen
%T Fixed point theorems for generalized contractions
%J Commentationes Mathematicae Universitatis Carolinae
%D 1972
%P 617-627
%V 13
%N 4
%U http://geodesic.mathdoc.fr/item/CMUC_1972_13_4_a1/
%G en
%F CMUC_1972_13_4_a1

[1] S. FUČÍK: Fixed point theorems for sum of nonlinear mappings. Comment. Math. Univ. Carolinae 9 (1968), 133-143. | MR

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

[3] W. A. KIRK: On nonlinear mappings of strongly semicontractive type. J. Math. Anal. Appl. 27 (1969), 409-412. | MR | Zbl

[4] W. A. KIRK: Mappings of generalized type. J. Math. Anal. Appl. 32 (1970), 567-572. | MR

[5] M. A. KRASNOSELSKI: Two remarks on the method of successive approximations. Uspehi Mat. Nauk 10, No 1 (63) (1955), 123-127. | MR

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

[7] W. V. PETRYSHYN: A new fixed point theorem and its application. Bull. Amer. Math. Soc. 78 (1972), 225-229. | MR | Zbl

[8] J. REINERMANN: Fixpunktsätze vom Krasnoselski-Typ. Math. Z. 119 (1971), 339-344. | MR | Zbl

[9] 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. | MR | Zbl

[10] A. E. TAYLOR: Introduction to Functional Analysis. John Wiley & Sons, Inc., London - Sydney, sixth printing 1967. | MR