Abstract
An extension theorem for Pexider's equation is proved and used to generalize the results in [4] to cases with weights with more than one constraint and to more general domains in a form which can be applied to multiobjective linear programming.
Similar content being viewed by others
References
Aczél, J.,Lectures on functional equations and their applications. Academic Press, New York-London, 1966.
Aczél, J.,Remark 28. In:The 22nd International Symposium on Functional Equations. Aequationes Math.29 (1985), 101.
Aczél, J. andWagner, C.,Rational group decision making generalized: The case of several unknown functions. C. R. Math. Rep. Acad. Sci. Canada3 (1981), 138–142.
Aczél, J., Ng, C. T. andWagner, C.,Aggregation theorems for allocation problems. SIAM J. Alg. Discrete Math.5 (1984), 1–8.
Baker, John A.,Regularity properties of functional equations. Aequationes Math.6 (1971), 243–248.
Daróczy, Z. andLosonczi, L.,Über Erweiterungen der auf einer Punktmenge additiven Funktionen. Publ. Math. Debrecen14 (1967), 239–245.
Lehrer, K. andWagner, C.,Rational consensus in science and society. Reidel, Boston-Dortrecht, 1981.
McMillan Jr., C.,Mathematical programming. J. Wiley & Sons, New York, 1970.
Rimán, J.,On an extension of Pexider's equation. Zb. Radova Mat. Inst. Beograd N.S.1(9) (1976), 65–72.
Yosida, K.,Functional analysis. Springer, Berlin, 1978.
Zeleny, M.,Linear Multiobjective Programming. In:Lecture Notes in Economics and Mathematical Systems 95, Springer-Verlag, Berlin-Heidelberg-New York, 1974.
Author information
Authors and Affiliations
Additional information
Dedicated to Professor Otto Haupt with best wishes on his 100th birthday
Rights and permissions
About this article
Cite this article
Radó, F., Baker, J.A. Pexider's equation and aggregation of allocations. Aeq. Math. 32, 227–239 (1987). https://doi.org/10.1007/BF02311311
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02311311