Agarwal, R. P. (ed.), Recent trends in optimization theory and applications. Singapore: World Scientific. World Sci. Ser. Appl. Anal. 5, 79-106 (1995).
The authors present a method of solving the constrained extremum problem through converting it into separating of the sets in the image space. The problem is formulated as the generalized system
with a cone
a real Hilbert space,
a parameter set. The impossibility of a generalized system means the condition
is the image of
The main problem reduced to impossibility is:
with a convex and closed cone
Applications to variational and quasivariational inequalities are shown. Results concerned with optimality conditions, saddle points, Lagrange multipliers, penalty method are presented, too.