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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.

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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.

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Authors and Affiliations

  1. Mathematics Department, Nanchang University, Nanchang, 330047, China, , , , , , CN

    Wei Liu & Xunhua Gong

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  1. Wei Liu
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  2. Xunhua Gong
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Manuscript received: July 1999 / final version received: November 1999

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Liu, W., Gong, X. 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.. Mathematical Methods of OR 51, 443–457 (2000). https://doi.org/10.1007/PL00003994

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  • DOI: https://doi.org/10.1007/PL00003994

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