集值优化Benson真有效元的二阶刻画

doi:10.15960/j.cnki.issn.1007-6093.2016.02.008

Abstract

Abstract:

This paper introduced a new kind of second-order tangent cone, and related second-order tangent derivative, termed as second-order radial composed tangent derivative. Some properties of second-order radial composed tangent derivative and its relationship to second-order composed tangent derivative are discussed. Sufficient and necessary optimality conditions are established respectively for a Benson proper efficient element of set-valued optimization by second-order radial tangent derivative.

Key words: second-order radial composed tangent derivative, set-valued optimization, Benson proper efficient element

XU Yihong, YANG Yun. Second-order characterizations on Benson proper efficient element of set-valued optimization[J]. Operations Research Transactions, doi: 10.15960/j.cnki.issn.1007-6093.2016.02.008.

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Second-order characterizations on Benson proper efficient element of set-valued optimization

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[1]	XU Yihong, SUN Xin, WANG Tao. Characterizations on strongly efficient solutions of set-valued optimization with generalized second-order cone-directed derivatives [J]. Operations Research Transactions, 2013, 17(4): 80-86.
[2]	YANG Yang, XU Yi-Hong, XIONG Wei-Zhi. Higher-Order Characterizations for Set-Valued Optimization on Strictly Maximal Efficient Solutions [J]. Operations Research Transactions, 2011, 15(2): 103-109.