In this work we introduce for extended real valued functions, defined on a Banach space X, the concept of K directionally Lipschitzian behavior, where K is a bounded subset of X. For different types of sets K (e.g., zero, ...

In this work we introduce for extended real valued functions, defined on a Banach space X, the concept of K directionally Lipschitzian behavior, where K is a bounded subset of X. For different types of sets K (e.g., zero, ...

We consider an exchange economy where the consumers face linear inequality constraints on consumption. We parametrize the economy with the initial endowments and constraints. We exhibit sufficient conditions on the constraints ...

For a C-2-smooth function on a finite-dimensional space, a necessary condition for its quasiconvexity is the positive semidefiniteness of its Hessian matrix on the subspace orthogonal to its gradient, whereas a sufficient ...

En esta tesis doctoral presentamos y desarrollamos dos nuevos modelos de optimización sin derivadas. En primer lugar, proponemos un nuevo método de búsqueda de patrones para optimización local, denominado algoritmo nmps, ...

Probability functions figure prominently in optimization problems of engineering. They may be nonsmooth even if all input data are smooth. This fact motivates the consideration of subdifferentials for such typically just ...

Probability functions figure prominently in optimization problems of engineering. They may be nonsmooth even if all input data are smooth. This fact motivates the consideration of subdifferentials for such typically just ...

Let H be a Hilbert space over the reals and let f: H → R1 be a function of class C1.  We have shown in |1|  that the differential equationdu/dt= -T (u(t) ),u(0)= uo                                                     ...