Optimality conditions for \(\epsilon \)-quasi solutions of optimization problems via \(\epsilon \)-upper convexificators with applications (Q2311117)

This article examines the necessary and sufficient conditions for a point to be an \(\epsilon\)-quasi solution of an optimization problem. The paper begins with an introduction to convexifications and its importance to this study, followed by a section containing the necessary definitions and preliminary theorems. The main result on the optimality conditions for \(\epsilon\)-quasi solutions of a scalar problem follows, where many results and properties are presented with proof. The article concludes with a section of applications and a list of relevant references.