Criteria for quasiconvexity and pseudoconvexity and their relationships. (English) Zbl 0538.90079

Generalized concavity in optimization and economics, Proc. NATO Adv. Study Inst., Vancouver/Can. 1980, 199-204 (1981).
Summary: [For the entire collection see Zbl 0534.00022.]
In this paper, first order conditions for pseudoconvexity are given. Then second order conditions for quasiconvexity and pseudoconvexity introduced by several authors are surveyed. They are stated in a matrix-theoretic framework, and their relationships are studied.


90C25 Convex programming
49K10 Optimality conditions for free problems in two or more independent variables
26B25 Convexity of real functions of several variables, generalizations


Zbl 0534.00022