Monotone operators and local-global minimum property of nonlinear optimization problems. (English) Zbl 1289.90153
Summary: Our main goal is to prove that every local minimizer of a certain nonlinear optimization problem is global. For this, we use some results from the theory of monotone operators and connected functions. At last, we show applications of the main results in control theory.
MSC:
90C26 | Nonconvex programming, global optimization |
49J27 | Existence theories for problems in abstract spaces |
47H05 | Monotone operators and generalizations |
90C25 | Convex programming |
90C48 | Programming in abstract spaces |