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Journal of Optimization Theory and Applications

, Volume 119, Issue 2, pp 335–356 | Cite as

Nearly Subconvexlike Set-Valued Maps and Vector Optimization Problems

  • P. H. Sach
Article

Abstract

This paper gives several characterizations of nearly subconvexlike set-valued maps (see Ref. 1) and shows that a weakly efficient solution and a Benson properly efficient solution of a vector optimization problem with nearly-subconvexlike objectives and constraints can be expressed in terms of saddle points defined in a suitable sense.

Near cone-subconvexlikeness Benson proper efficiency saddle points vector optimization 

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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • P. H. Sach
    • 1
  1. 1.Institute of MathematicsHanoiVietnam

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