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Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency

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  • Qilin Wang
  • Guolin Yu

Abstract

Some new properties are obtained for generalized second-order contingent (adjacent) epiderivatives of set-valued maps. By employing the generalized second-order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient solutions are given for set-valued optimization problems. The results obtained improve the corresponding results in the literature.

Suggested Citation

  • Qilin Wang & Guolin Yu, 2011. "Second-Order Optimality Conditions for Set-Valued Optimization Problems Under Benson Proper Efficiency," Abstract and Applied Analysis, Hindawi, vol. 2011, pages 1-16, December.
    • Handle: RePEc:hin:jnlaaa:432963
    DOI: 10.1155/2011/432963
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    Cited by:

    1. Liu He & Qi-Lin Wang & Ching-Feng Wen & Xiao-Yan Zhang & Xiao-Bing Li, 2019. "A Kind of New Higher-Order Mond-Weir Type Duality for Set-Valued Optimization Problems," Mathematics, MDPI, vol. 7(4), pages 1-18, April.

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