Generalized vector variational-like inequalities and vector optimization in Asplund spaces

Qamrul Hasan Ansari, Mahboubeh Rezaei

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

Some properties of pseudoinvex functions, defined by means of limiting subdifferential, are obtained. Furthermore, the equivalence between vector variational-like inequalities involving limiting subdifferential and vector optimization problems are studied under pseudoinvexity condition.

Original languageEnglish
Pages (from-to)721-734
Number of pages14
JournalOptimization
Volume62
Issue number6
DOIs
StatePublished - Jun 2013

Bibliographical note

Funding Information:
We are grateful to the referees for their valuable suggestions and comments to improve the previous draft of this article. M. Rezaei was partially supported by the Center of Excellence for Mathematics, University of Isfahan.

Keywords

  • limiting subdifferential
  • nonsmooth functions
  • pseudoinvex functions
  • vector optimization problems
  • vector variational-like inequalities

ASJC Scopus subject areas

  • Control and Optimization
  • Management Science and Operations Research
  • Applied Mathematics

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