Generalized Convexity Nonsmooth Function Generalized Directional Derivative Pseudoconvex Function Quasiconvex Function Invex Function Nonsmooth Optimization Solution Sets Pseudomonotone Generalized Directional Derivative
Issue Date:
2001
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Serdica Mathematical Journal, Vol. 27, No 3, (2001), 203p-218p
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.
