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Second order optimality conditions for $$C^1$$ multiobjective optimization problems. Scalarization. (English) Zbl 1097.90046
The authors consider multiobjective optimization problems defined on Banach spaces. They establish second order optimality conditions provided that the support functions of the set valued mappings involved in the multiobjective problems are continuously differentiable. The main tool they exploit is an approximate Hessian of continuously differentiable functions and its recession matrices.

##### MSC:
 90C29 Multi-objective and goal programming 90C30 Nonlinear programming