We consider a general equilibrium problem in a normed vector space setting and we establish sufficient conditions for the existence of solutions in compact and non compact cases. Our approach is based on the concept of upper sign property for bifunctions, which turns out to be a very weak...

In this paper, an infinite horizon <InlineEquation ID="IEq5"> <EquationSource Format="TEX">$$H_2/H_\infty $$</EquationSource> </InlineEquation> control problem is addressed for a broad class of discrete-time Markov jump systems with (<InlineEquation ID="IEq6"> <EquationSource Format="TEX">$$x,u,v$$</EquationSource> </InlineEquation>)-dependent noises. First of all, under the condition of exact detectability, the stochastic Popov–Belevich–Hautus (PBH) criterion is...</equationsource></inlineequation></equationsource></inlineequation>