semi-continuities of marginal functions in a sequential setting

Abstract

In convergence spaces (for example topological spaces not necessarily first countable) "sequential" sufficient conditions of minimal character are given in order to obtain the sequential upper and lower semi-continuity of functions defined by:

Different situations are considered: the unconstrained case, when Y is a general multifunction and when Y(x) is defined by inequalities dependent on x

Keywords:

• Marginal Functions
• Multifunctions
• Lower and Upper Semi-Continuity
• Г-Convergences