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math.OC2018★ 3 cited
Characterizations of Pseudoconvex Functions
Vsevolod Ivanov Ivanov
A differentiable function is pseudoconvex if and only if its restrictions over straight lines are pseudoconvex. A differentiable function depending on one variable, defined on some…
math.OC2018★ 10 cited
Characterizations of Solution Sets of Fréchet Differentiable Problems with Quasiconvex Objective Function
Vsevolod Ivanov Ivanov
In this paper, we study some problems with continuously differentiable quasiconvex objective function. We prove that exactly one of the following two alternatives holds: (I) the gr…