Weak sharp efficiency and growth condition for vector-valued functions with applications

We define weak sharp solutions to vector optimization problems and the growth condition for vector-valued functions. When applied to scalar-valued functions, weak sharp solutions reduce to weak sharp minima, and the growth condition reduces to the growth condition used in proving Holder calmness of the solution set to parametric scalar optimization problems. By using these concepts We prove upper Holder continuity and Holder calmness of the solution set-valued mapping to parametric vector optimization problems.

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