We present a two-sector endogenous growth model with human and physical capital accumulation in order to analyze the long run relationship between population growth and real per capita income growth. Learning is assumed to affect agents’ decision of how much to invest in formal education....

The aim of this paper is to present an approach for solving the Stochastic Multi-Objective Programming (SMOP) through the Goal Programming (GP) model. We introduce a deterministic equivalent formulation and we show how GP can provide solutions to SMOP. The proposed method will be illustrated...

Starting from the original definitions of Iterated Function Systems (IFS) and Iterated Function Systems with Probabilities (IFSP) we introduce the notions of Iterated Multifunction Systems (IMS) and Iterated Multifunction Systems with Probabilities (IMSP). We consider the IMS and IMSP as...

In this paper some notions of generalized derivatives for C(1,1) functions are introduced and studied.

In this paper, we first consider the problem of defining IFS operators on the space Kc of non-empty compact and convex subsets of Rd. After defining a complete metric on Kc, we construct an IFS operator and show some properties. A notable feature is the definition of a type of weak inner product...

In this paper inverse problems for iterated function systems are studied by optimization techniques. Some extentions to place dependent probabilities are also studied.

In this paper a notion of arcwise connected convex set valued mapping is introduced. Optimality conditions involving this type of data are studied.

The aim of this paper is twofold. First of all we re-examine the long-run relationship between population and economic growth. To do this we extend the Lucas-Uzawa model along two different directions: we introduce the growth of the physical capital stock into the human capital supply equation...

Fractal image coding generally seeks to express an image as a union of spatially contracted and greyscale modified copies of subsets of itself. Generally,images are represented as functions u(x) and the fractal coding method is conducted in the framework of L^2 or L^1. Here we formulate a method...

In this paper we recall inverse problems for iterated function systems and how these problems can be reduced to optimizations problems. We extend these results to IFS operators with dependent probabilities.