Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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ON NECESSARY OPTIMALITY CONDITIONS IN MULTIFUNCTION OPTIMIZATION WITH PARAMETERS

PHAN QUOC KHANH, LE MINH LUU

pp. 125-136

Abstract

We consider multifunction optimization problems with parameters. Necessary optimality conditions of the Fritz John and Kuhn-Tucker types are obtained with relaxed differentiability assumptions on the state variable and convexlikeness assumptions on the parameter.