D. V. Luu and P. T. Kien propose in Soochow J. Math. 33 (2007), 17-31, higher-order conditions for strict efficiency of vector optimization problems based on the derivatives introduced by I. Ginchev in Optimization 51 (2002), 47-72. These derivatives are defined for scalar functions and in their...

The question we address is how robust solutions react to changes in the uncertainty set. We prove the location of robust solutions with respect to the magnitude of a possible decrease in uncertainty, namely when the uncertainty set shrinks, and convergence of the sequence of robust solutions. In...

The question we address is how robust solutions react to changes in the uncertainty set. We prove the location of robust solutions with respect to the magnitude of a possible decrease in uncertainty, namely when the uncertainty set shrinks, and convergence of the sequence of robust solutions. In...

A multicriteria optimization problem is called Pareto reducible if its weakly efficient solutions are Pareto solutions of the problem itself or a subproblem obtained from it by selecting certain criteria. The aim of this paper is to introduce a similar concept of Pareto reducibility for a class...

The classical subdifferential calculus is a useful tool in order to estabilish characterizations of convex functions and optimality conditions; but it becomes usless when one thinks to study perturbed convex functions. In this paper by using Sobolev space theory we give some characterizations of...

In this paper we give new proofs of classical results wich establish that under certain hypotheses a function can be expressed almost everywhere as an indefinite repeated integral of its Riemann derivatives. These results were originally proved in the first half of the century and are...

The iterated function systems (IFS) are used in image processing theory; in particular they give a dynamic procedure of compression and decompression of computer images. In this paper we bulid an iterated function system on the space of distribution functions and we show how the inverse problem...