The global weak sharp minima with explicit exponents in polynomial vector optimization problems
Tien Son Pham (sonptdlu.edu.vn)
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 \L ojasiewicz's gradient inequality due to D'Acunto and Kurdyka, we establish the H\"older type global weak sharp minima with explicitly calculated exponents.
Keywords: Global weak sharp minima with explicit exponents, Vector optimization problem, Polynomials.
Category 1: Convex and Nonsmooth Optimization
Category 2: Other Topics (Multi-Criteria Optimization )
Citation: Positivity (2017) online first doi:10.1007/s11117-017-0509-6
Entry Submitted: 10/10/2014
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