Optimality conditions for approximate solutions in multiobjective optimization problems

Ying Gao, Xinmin Yang, Heung Wing Joseph Lee

Research output: Journal article publicationJournal articleAcademic researchpeer-review

7 Citations (Scopus)

Abstract

We study first- and second-order necessary and sufficient optimality conditions for approximate (weakly, properly) efficient solutions of multiobjective optimization problems. Here, tangent cone, -normal cone, cones of feasible directions, second-order tangent set, asymptotic second-order cone, and Hadamard upper (lower) directional derivatives are used in the characterizations. The results are first presented in convex cases and then generalized to nonconvex cases by employing local concepts.
Original languageEnglish
Article number620928
JournalJournal of Inequalities and Applications
Volume2010
DOIs
Publication statusPublished - 1 Dec 2010

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Discrete Mathematics and Combinatorics

Cite this