Fixed point theorems for compact and nonexpansive mappings on starshaped domains (Preliminary communication)
Reinermann, Jochen ; Stallbohm, Volker
Commentationes Mathematicae Universitatis Carolinae, Tome 015 (1974), p. 775-779 / Harvested from Czech Digital Mathematics Library
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Publié le : 1974-01-01
Classification:  46A15,  46A19,  47H10,  55C20,  55C25,  55M20,  55M25 
@article{105597,
     author = {Jochen Reinermann and Volker Stallbohm},
     title = {Fixed point theorems for compact and nonexpansive mappings on starshaped domains (Preliminary communication)},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {015},
     year = {1974},
     pages = {775-779},
     zbl = {0295.47056},
     mrnumber = {0370284},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105597}
}

Reinermann, Jochen; Stallbohm, Volker. Fixed point theorems for compact and nonexpansive mappings on starshaped domains (Preliminary communication). Commentationes Mathematicae Universitatis Carolinae, Tome 015 (1974) pp. 775-779. http://gdmltest.u-ga.fr/item/105597/

N. A. Assad A fixed point theorem for weakly uniformly strict contractions, Canad. Math. Bull. 16 (1973), 15-18. (1973) | MR 0322840 | Zbl 0252.47063

R. A. Bing The elusive fixed point property, Amer. Math. Monthly 25 (1969), 119-132. (1969) | MR 0236908 | Zbl 0174.25902

F. E. Browder Convergence of approximants to fixed points of nonexpansive mappings in Banach spaces, Arch. Rat. Mech. Anal. 25 (1967), 82-90. (1967) | MR 0206765

M. G. Crandall A. Pazy Semi-groups of nonlinear contractions and dissipative sets, J. Functional Anal. 3 (1969), 1-34. (1969) | MR 0243383

M. Edelstein On fixed and periodic points under contractive mappings, J. Lond. Math. Soc. 37 (1962), 74-79. (1962) | MR 0133102 | Zbl 0113.16503

D. Göhde Zum Prinzip der konktraktiven Abbildung, Math. Nachr. 30 (1965), 251-258. (1965) | MR 0190718

V. Klee Leray-Schauder theory without local convexity, Math. Ann. 141 (1960), 286-296. (1960) | MR 0131150 | Zbl 0096.08001

W. V. Petryshyn P. M. Fitzpatrick Degrees theory for noncompact multivalued vector fields, Bull. Amer. Math. Soc. 79 (1973), 609-613. (1973) | MR 0317117

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

B. N. Sadovsky On measure of noncompactness and condensing operators, Probl. Math. Anal. Slož. Sistem. 2 (1968), 89-119 (in Russian). (1968) | MR 0301582

B. N. Sadovsky Ultimately compact and condensing operators, Uspehi Mat. Nauk 27 (1972), 81-146 (in Russian). (1972) | MR 0428132

J. T. Schwartz Nonlinear Functional Analysis, Courant Institute, New York (1965). (1965)

K. Sieklucki On a class of plane acyclic continua with the fixed point property, Fund. Math. 63 (1968), 257-278. (1968) | MR 0240794 | Zbl 0172.24803