A Subgradient Projection Method for Quasiconvex Minimization

A subgradient projection method for quasiconvex minimization problems is provided in the following paper. By using strong subdifferentials, it is proved that the generated sequence of the proposed algorithm converges to the solution of the minimization problem of a proper, lower semicontinuous and strongly quasiconvex function under the same assumptions than the convex case with … Read more

An Augmented Lagrangian Method for Quasi-Equilibrium Problems

In this paper, we propose an Augmented Lagrangian algorithm for solving a general class of possible non-convex problems called quasi-equilibrium problems (QEPs). We define an Augmented Lagrangian bifunction associated with QEPs, introduce a secondary QEP as a measure of infeasibility and we discuss several special classes of QEPs within our theoretical framework. For obtaining global … Read more