By János Aczél (auth.), János Aczél (eds.)
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However, there exist production functions gj in the economic practice which are not even "close" to affine. g. ) In general, "the diagram may not commute". Not even relaxing (3) to closeness of the left and right sides helps, because of the stability of the Pexider equation. This result of Nikodem  holds for monoids and Banach spaces but a consequence for g], g2, G: IR: --+ IR+ is that (we take here m = 2) (x, yE IR':J implies the existence of a ~ 0, b l ~ 0, b2 ~ (3') 0 such that which proves our above point that only "close to affine" functions can satisfy (3').
Uniw. SlllSk. w Katowicach 759 (1985), I-59. , One-parameter families of set-valued contractions. In: Proceedings of ECIT 87, European Conference on Iteration Theory, Caldes de Malavella, Spain, 20-26 Sept. 1987 (ed. C. ). World Scientific, Singapore, 1989, 324-330. , Almost-everywhere set-valued iteration semigroups. In: Proceedings of ECIT 91, European Conference on Iteration Theory, Lisboa, Portugal, 15-21 Sept. 1991 (ed. J. P. ). World Scientific, Singapore, 1992, 262-272.  STARKE, P. , Abstrakte Automaten.
Solution of the generalized translation equation on some structures. Univ. Jagiell. Acta Math. 27 (1988),51-60. , Translation equation on additive semigroup of reals non-negatives numbers (Polish). Wyz. Szkola Ped. Rzeszow. -Dydakt. No. 3/22 (1975), 3-14.  BANAS, J. , Construction of the solution of the translation equation on additive semigroup of real numbers (Polish). Wyz. Szkola Ped. Rzeszow. -Dydakt. No. 4/32 (1977), 7-30.  BARCZ, E, KANIA, M. , Sur les automates commutatifs. Zeszyty Nauk.