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

Tien Son Pham (sonpt***at***dlu.edu.vn)
Xuan Duc Ha Truong (txdha***at***math.ac.vn)
Jen-Chih Yao (yaojc***at***kmu.edu.tw)

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

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Entry Submitted: 10/10/2014
Entry Accepted: 10/10/2014
Entry Last Modified: 06/29/2017

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