含参强向量平衡解集映射的下半连续性

赵勇,彭再云

系统科学与数学 ›› 2013, Vol. 33 ›› Issue (8) : 985-992.

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系统科学与数学 ›› 2013, Vol. 33 ›› Issue (8) : 985-992. DOI: 10.12341/jssms12163
论文

含参强向量平衡解集映射的下半连续性

    赵勇1,彭再云2
作者信息 +

LOWER SEMICONTINUITY OF THE SET OF SOLUTIONS FOR PARAMETRIC STRONG VECTOR EQUILIBRIUM PROBLEMS

    ZHAO Yong1 , PENG Zaiyun2
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摘要

在没有C-强单调性和 C-凸/凹性假设下,利用一个新的假设条件,研究了含参强向量平衡 问题解集映射的下半连续性, 并 通过例子验证了所得结果的正确性, 推广了已有文献中相应的结果.

Abstract

In this paper, with a new assumption, we study the lower  semicontinuity of the set of solutions for parametric strong vector  equilibrium problems without the assumptions of C-strong mononiticity  and C-convexity or C-concavity. Some examples are  given to illustrate the correctness of the   results.

关键词

含参强向量平衡问题 / 解集映射 / 下半连续性 /   / 稳定性.

Key words

Parametric strong vector equilibrium problem, solution mappings,  / lower semicontinuity, stability.

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赵勇,彭再云. 含参强向量平衡解集映射的下半连续性. 系统科学与数学, 2013, 33(8): 985-992. https://doi.org/10.12341/jssms12163
ZHAO Yong , PENG Zaiyun. LOWER SEMICONTINUITY OF THE SET OF SOLUTIONS FOR PARAMETRIC STRONG VECTOR EQUILIBRIUM PROBLEMS. Journal of Systems Science and Mathematical Sciences, 2013, 33(8): 985-992 https://doi.org/10.12341/jssms12163
中图分类号: 49K40    90C29    90C31   
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