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However, there exist production functions gj in the economic practice which are not even "close" to affine. g. [6]) 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 [7] 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. [70] 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. [7] 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. [8] BARCZ, E, KANIA, M. , Sur les automates commutatifs. Zeszyty Nauk.

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