4 papers · 1 filter
Optimality conditions via exact penalty functions
Vsevolod Ivanov Ivanov
In this paper, we obtain optimality conditions for the problem with inequality, equality and closed set constraints in terms of the lower Hadamard derivative. The results are obtai…
Characterizations of Pseudolinear and Semi-strictly Quasilinear Functions
Vsevolod I. Ivanov
In this paper we obtain several new complete characterizations of pseudolinear functions. Two of the results are of first-order and one is derivative free. All results are derived…
Multiobjective Programming and Weighting Scalar Problem
Vsevolod I. Ivanov
In this work is discussed the paper by Osuna-Gomez, Beato-Moreno and Rufian-Lizana, Generalized convexity in multiobjective programming: J. Math. Anal. Appl., v. 233 (1999) pp. 205…
First and Second Order Necessary and Sufficient Optimality Conditions of Fritz John Type for Vector Problems over Cones
Vsevolod I. Ivanov
In this paper, we obtain a new proof of Fritz John necessary optimality conditions for vector problems applying Kakutani fixed point theorem and Hadamard directional derivative. We…