Ekeland's Variational Principle for Set-Valued Functions

  • Authors:
  • C. G. Liu;K. F. Ng

  • Affiliations:
  • tcgliu@jnu.edu.cn;kfng@math.cuhk.edu.hk

  • Venue:
  • SIAM Journal on Optimization
  • Year:
  • 2011

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Abstract

We establish several set-valued function versions of Ekeland's variational principle and hence provide some sufficient conditions ensuring the existence of error bounds for inequality systems defined by finitely many lower semicontinuous functions.