Some Additive Darboux–Like Functions

Some Additive Darboux–like Functions

In this note we will construct several additive Darboux-like functions f : R → R answering some problems from (an earlier version of) [4]. In particular, in Section 2 we will construct, under different additional set theoretical assumptions, additive almost continuous (in sense of Stallings) functions f : R → R whose graph is either meager or null in the plane. In Section 3 we will construct an...

Some Remarks about Additive and Multiplicative Functions

The present paper contains some results about the classical multiplicative functions (n), a(n) and also about general additive and multiplicative functions. (1) It is well known that n/{n) ^x.) It is known that both fi(x) and fï(x) are strictly inc...

Some Relationships between Locally Super- Additive Functions and Convex Functions1

Approximately generalized additive functions in several variables

The goal of  this paper is to investigate the solutionand stability in random normed spaces, in non--Archimedean spacesand also in $p$--Banach spaces and finally the stability using thealternative fixed point of generalized additive functions inseveral variables.

Min-Additive Utility Functions

This paper introduces the ―min-additive‖ (also called ―min-average‖) utility function. This function is a weighted combination of an additive utility function and a minimization over a set of single attribute utility functions. The weighting is accomplished by exploiting information already contained in the additive and minimization models. Four forms of the min-additive (MA) model are presente...