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Proper efficiency for set-valued vector optimization problems and vector variational inequalitiesRID="*"ID="*" This research was partially supported by the National Natural Science Foundation of P.R. China and the Natural Science Foundation of Jiangxi Province, P.R. China

Author

Listed:
  • Wei Liu
  • Xunhua Gong

Abstract

We obtain the necessary and sufficient conditions of many kinds of proper efficiency in vector set-valued optimization by using the concept of contingent epiderivative introduced by Jahn and Rauh, also we disclose the closed relations between proper efficiency of vector set-valued optimization problem and proper efficiency of a certain kind of vector variational inequality. Copyright Springer-Verlag Berlin Heidelberg 2000

Suggested Citation

  • Wei Liu & Xunhua Gong, 2000. "Proper efficiency for set-valued vector optimization problems and vector variational inequalitiesRID="*"ID="*" This research was partially supported by the National Natural Science," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 51(3), pages 443-457, August.
    • Handle: RePEc:spr:mathme:v:51:y:2000:i:3:p:443-457
    DOI: 10.1007/PL00003994
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