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Paper   IPM / M / 14285
School of Mathematics
  Title:   Boundedness of the strong KKT multipliers for proper and isolated efficiencies in nonsmooth multiobjective optimization
  Author(s):  S. Nobakhtian (Joint with A. Ansari Ardali)
  Status:   Published
  Journal: Math. Reports
  Vol.:  68
  Year:  2016
  Pages:   279-297
  Supported by:  IPM
  Abstract:
In this paper, using the idea of upper semi-regular convexificators, we propose constraint qualification and study existence and boundedness of the strong Karush-Kuhn-Tucker multipliers for proper and isolated efficiencies in nonsmooth multiobjective optimization problems with inequality, equality constraints and an arbitrary set constraint. Moreover, sufficient optimality conditions are studied for a (local) properly efficient solution.

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