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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.

MSC:

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

Citations:

Zbl 0534.00022