Homogeneous means and some functional equations
Mathematica slovaca, Tome 48 (1998) no. 4, pp. 391-398
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Charatonik, Janusz J. Homogeneous means and some functional equations. Mathematica slovaca, Tome 48 (1998) no. 4, pp. 391-398. http://geodesic.mathdoc.fr/item/MASLO_1998_48_4_a6/

[1] ACZÉL J.: Lectures on Functional Equations and Their Applications. Academic Press, New York, 1966. | MR | Zbl

[2] AUMANN G.: Aufbau von Mittelwerten mehrerer Argumente I. Math. Ann. 109 (1933), 235-253. | MR | Zbl

[3] AUMANN G.: Aufbau von Mittelwerten mehrerer Argumente II (Analytische Mittelwerte). Math. Ann. 111 (1935), 713-730. | MR | Zbl

[4] AUMANN G.: Über Räume mit Mittelbildungen. Math. Ann. 119 (1943), 210-215. | MR

[5] BACON P.: An acyclic continuum that admits no mean. Fund. Math. 67 (1970), 11-13. | MR | Zbl

[6] BAKER J. A.-WILDER B. E.: Constructing means on certain continua and functional equations. Aequationes Math. 26 (1983), 89-103. | MR | Zbl

[7] CHARATONIK J. J.: Inverse limit means and some functional equations. Rocky Mountain J. Math. 23 (1993), 41-48. | MR | Zbl

[8] ECKMANN B.: Räume mit Mittelbildungen. Comment. Math. Helv. 28 (1954), 329-340. | MR | Zbl

[9] ECKMANN B.-GANEA T.-HILTON P. J.: Generalized means. In: Studies in Mathematical Analysis and Related Topics, Stanford University Press, Stanford, Calif., 1962, pp. 82-92. | MR | Zbl

[10] KUCZMA M.: Functional Equations in a Single Variable. Monografie Matematyczne Vol. 46, PWN, Warszawa, 1968. | MR | Zbl

[11] SIGMON K.: On the existence of a mean on certain continua. Fund. Math. 63 (1968), 311-319. | MR | Zbl

[12] WHYBURN G. T.: Analytic Topology. Amer. Math. Soc. Colloq. Publ. 28, Amer. Math. Soc, Providence, RI, 1942 (Reprinted with corrections 1971). | MR | Zbl

[13] WILDER B. E.: Inverse limit means are not preserved under homeomorphisms. Rocky Mountain J. Math. 19 (1989), 549-551. | MR | Zbl