Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Abstract
First order characterizations of pseudoconvex functions are
investigated in terms of generalized directional derivatives. A connection
with the invexity is analysed. Well-known first order characterizations of
the solution sets of pseudolinear programs are generalized to the case of
pseudoconvex programs. The concepts of pseudoconvexity and invexity do
not depend on a single definition of the generalized directional derivative
