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参数弱向量平衡问题解集的似Holder性和相依导数

Minghua LiChun-Rong ChenShengjie Li

2013Scientia Sinica MathematicaMathematics被引 4

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摘要

In this paper, we study the Hölder-likeness and contingent derivative of solutions to a parametric weak vector equilibrium problem. At first, recalling a real-valued gap function of the problem, we discuss the Lipschitz continuity and the Hadamard directional differentiability of the gap function. Then by means of the properties of the gap function we establish the Hölder-likeness and Hölder continuity and an explicit expression for the contingent derivative of the solution mapping for the problem, respectively.

引用本文(GB/T 7714)

Minghua Li, Chun-Rong Chen, Shengjie Li. 参数弱向量平衡问题解集的似Holder性和相依导数[J]. Scientia Sinica Mathematica, 2013.

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DOI:https://doi.org/10.1360/012011-743

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