Weak sharp minima in multiobjective optimization

We extend some necessary and sufficient conditions for strict local Pareto minima of order m obtained by Jiménez (2002) to the case of weak ψ-sharp local Pareto minima, i.e., to the case when the local solution is not necessarily unique

Necessary optimality conditions for nonsmooth two-dimensional control systems described by Roesser's model

Necessary optimality conditions for nonlinear nonsmooth two-dimensional discrete control systems are derived. Under additional convexity assumptions, these conditions can be obtained in the form of a maximum principle. For some special cases, sufficient optimality conditions are also presented

Necessary and sufficient conditions for a Pareto optimal allocation in a discontinuous Gale economic model

In this paper we examine the concept of Pareto optimality in a simplified Gale economic model without assuming continuity of the utility functions. We apply some existing results on higher-order optimality conditions to get necessary and sufficient conditions for a locally Pareto optimal allocation

Higher-order conditions for local equilibria in a discontinuous Gale economic model

The paper introduces the concept of a strict local equilibrium of order k in the Gale economic model. We obtain higher-order necessary and sufficient conditions for such equilibria without assuming continuity of the utility functions. These conditions are formulated in terms of generalized lower and upper directional derivatives, introduced by Studniarski (1986). A stability theorem for strict local equilibria of order k is also included