Gerstewitz nonlinear scalar functional and the applications in vector optimization problems

نویسندگان

چکیده

In this paper, we study the properties of Gerstewitz nonlinear scalar functional with respect to coradiant set and radiant in real linear space. With help nonconvex separation theorem co-radiant set, first obtain that is a special co-radiant(radiant) when corresponding set. Based on subadditivity property convex calculate its Fenchel(approximate) subdifferential. As applications, derive optimality conditions for approximate solutions vector optimization problem. We also state can be used as coherent measure portfolio

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ژورنال

عنوان ژورنال: Filomat

سال: 2022

ISSN: ['2406-0933', '0354-5180']

DOI: https://doi.org/10.2298/fil2216615g