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Zbl 1153.90529
Bednarczuk, Ewa M.
Weak sharp efficiency and growth condition for vector-valued functions with applications. (English)
[J] Optimization 53, No. 5-6, 455-474 (2004). ISSN 0233-1934; ISSN 1029-4945/e

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 2000:: *90C29 Multi-objective programming, etc.
90C31 Sensitivity, etc.
46N10 Appl. of functional analysis in optimization and math. programming
49K40 Sensitivity of optimal solutions in the presence of perturbations
54C60 Set-valued maps

Keywords: weak sharp efficient solutions; Parametric vector optimization; Growth condition; Hölder continuity; Hölder calmness

Cited in: Zbl 1201.90179

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