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