On the Asymptotically Well Behaved Functions and Global Error Bound for Convex Polynomials

  • Authors:
  • Guoyin Li

  • Affiliations:
  • g.li@unsw.edu.au

  • Venue:
  • SIAM Journal on Optimization
  • Year:
  • 2010

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Abstract

In this paper, we present some new and tractable sufficient conditions for convex asymptotically well behaved (AWB) functions. Moreover, we establish several Lipschitz- and Hölder-type global error bound results for a single convex polynomial and for functions which can be expressed as maximum of finitely many nonnegative convex polynomials. An advantage of our approach is that the corresponding Hölder exponent in our Hölder-type global error bound results can be determined explicitly.