The problem of the number of switches in parabolic equations with control
The shooting approach in analyzing bang-bang extremals with simultaneous control switches
The stability radius of an efficient solution in minimax Boolean programming problem
The turnpike property for dynamic discrete time zero-sum games.
The union of uniform closed balls conjecture
Tilt stability in nonlinear programming under Mangasarian-Fromovitz constraint qualification
The paper concerns the study of tilt stability of local minimizers in standard problems of nonlinear programming. This notion plays an important role in both theoretical and numerical aspects of optimization and has drawn a lot of attention in optimization theory and its applications, especially in recent years. Under the classical Mangasarian-Fromovitz Constraint Qualification, we establish relationships between tilt stability and some other stability notions in constrained optimization. Involving...
Turnpike properties of approximate solutions of autonomous variational problems
Two-dimensional Newton's problem of minimal resistance