Lagrange multiplier rules for approximate solutions in vector optimization

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6 Citations (Scopus)

Abstract

In Asplund space, Lagrange multiplier rules for approximate solutions of nonsmooth vector optimization problems are studied. The relationships between the vector and the scalar optimization problems are established. And the optimality conditions of approximate solutions for vector optimization are obtained. Moreover, the vector variational inequalities are considered by applying the partial results given in this paper.
Original languageEnglish
Pages (from-to)749-764
Number of pages16
JournalJournal of Industrial and Management Optimization
Volume8
Issue number3
DOIs
Publication statusPublished - 1 Aug 2012

Keywords

  • Approximate efficient solutions
  • Lagrange multipliers
  • Limiting subdifferential
  • Optimality conditions
  • Vector optimization

ASJC Scopus subject areas

  • Business and International Management
  • Strategy and Management
  • Control and Optimization
  • Applied Mathematics

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