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Non-convex is also referred to as concave. Convex and non-convex both define the types of curvature. Convex defines the curvature that extends outwards or bulges out. On the other hand, non-convex defines a curvature that extends or bends inward. Thus, the extension of the curve is used to differentiate between the two forms. Convex and non-convex are often used as adjectives to define the entities associated with the shape or curve defined by them.
It is the fact that f(x) or G(x) may be non-convex .A convex optimization problem is onewhere all of the constraints are convex func-tions, and the objective is a convex function ifminimizing, or a concave function if maximiz-ing.