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Weak sharp efficiency and growth condition for vector-valued functions with applications. (English) Zbl 1153.90529
Summary: 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 Hölder calmness of the solution set to parametric scalar optimization problems. By using these concepts We prove upper Hölder continuity and Hölder calmness of the solution set-valued mapping to parametric vector optimization problems.

MSC:
90C29Multi-objective programming; goal programming
90C31Sensitivity, stability, parametric optimization
46N10Applications of functional analysis in optimization and programming
49K40Sensitivity, stability, well-posedness of optimal solutions
54C60Set-valued maps (general topology)