A generalized convexity and a homotopy approach to a quasiconvex minimization(Nonlinear Analysis and Mathematical Economics)
Phan Thiên Thach, Masakazu Kojima · Institutional Repositories DataBase (IRDB) · 1994
We present a variational condition for a global optimality to a $cIass$ of quasiconvex mininization problems where vanishing gradients are not enough to the optimality.Using this condition we show that a quasiconvex minimization problem, whose local minima may not global ones, can be reduced to a generalized equation, and can, in principle, be solved by homotopy approaches.