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The global weak sharp minima with explicit exponents in polynomial vector optimization problems

Authors: 

Tiến Sơn Phạm, Xuân Đức Hà Trương, Jen-Chih Yao

Source title: 
Positivity, 22(1): 219-244, 2018 (ISI)
Academic year of acceptance: 
2017-2018
Abstract: 

In this paper we discuss the global weak sharp minima property for vector optimization problems with polynomial data. Exploiting the imposed polynomial structure together with tools of variational analysis and a quantitative version of Łojasiewicz’s gradient inequality due to D’Acunto and Kurdyka, we establish the Hölder type global weak sharp minima with explicitly calculated exponents.