A geometrical insight on pseudoconvexity and pseudomonotonicity

In all these applications, L´ evy’s continuity theorem is used for generalized random fields in the space of tempered distributions, which is the dual of the Schwartz space..

I hope it adds some news ideas and results to the …xed point theory in the framework of generalized functions algebras, with application to the Cauchy-Lipschitz problem in a

After a short overview of classical results in distribution theory and propagation of singularities under linear and nonlinear operators, we will give a characterisation of the

2 Note that, in general, the converse of Proposition 3.3 may be false: in Examples 3.1 and 3.2 we have defined homeomorphisms on a compact metric space such that GR(f ) ( CR(f ) = X

Key words: colinvex, colin…ne, generalized derivative, mathematical programming, optimality conditions, pseudoconvex function, pseudolinear function, quasiconvex function..

Key words: colinvex, generalized di¤erential, mathematical programming, optimality conditions, proto- convex function, pseudoconvex function, quasiconvex function.. Mathematics

Key words: colinvex, colin…ne, generalized di¤erential, optimization problem, protoconvex function, pseudoconvex function, pseudolinear function, quasiconvex function..

The following theorem gives a second order optimality conditions for (MOP), under weaker convexity assumptions on the objective function than the ones current in Theorem 3.4..