Summary: PERGAMON Nonlinear Analysis 47 (2001) 18331844
Dierential Equations for Equilibrium Problems with
Computing Center of Russian Academy of Sciences,
Vavilov str.,40, 117967 Moscow, Russia
Revised 27 November 2003
Abstract. The equilibrium programming problem with coupled constraints is presented.
A properties of symmetric and skew-symmetric functions are discussed. New concept
of symmetric coupled constraints is oered. The dierential feed-back control gradient-
type method for solving the coupled constrained equilibrium problem is suggested and its
convergence is proved.
1 Statement of problem
Let us consider the problem of computing a xed point of a extreme coupled constrained
mapping: nd v
0 such that
, w) | g(v
, w) 0, w 0}, (1.1)