abstract:In convex analysis and the calculus of variations, branches of mathematics, a pseudoconvex function is a function that behaves like a convex function with respect to finding its local minima, but need not actually be convex. Informally, a differentiable function is pseudoconvex if it is increasing in any direction where it has a positive directional derivative.
This paper discussestherelationship betweenquasi-concaveandpseudo-convex in the generalizedconvexfunctionin the Lineartopologicalspaceand offers someconditionsofequivalence.