GENERIC STABILITY OF THE SOLUTIONS SET FOR GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITY

Luo Qun;Xiao Hong DENG;Tian Xiang SUN

Journal of Systems Science and Mathematical Sciences ›› 1999, Vol. 19 ›› Issue (4) : 447-452.

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PDF(288 KB)
Journal of Systems Science and Mathematical Sciences ›› 1999, Vol. 19 ›› Issue (4) : 447-452. DOI: 10.12341/jssms09762
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GENERIC STABILITY OF THE SOLUTIONS SET FOR GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITY

  • Luo Qun(1),Xiao Hong DENG(2),Tian Xiang SUN(3)
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Abstract

In this paper, first, we prove the existence of solutions for the generalized vector variational-like inequality; second, by the usco mapping (see K.K.Tan, J.Yu and X.Z.Yuan(1995)), the generic stability of the solutions set for the generalized vector variational-like inequality is studied, and it is shown that the solutions set of most of the generalized vector variational-like inequality is stable.

Key words

Generalized vector variational-like inequality / upper semicontinuous / lowersemicontinuous

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Luo Qun , Xiao Hong DENG , Tian Xiang SUN. GENERIC STABILITY OF THE SOLUTIONS SET FOR GENERALIZED VECTOR VARIATIONAL-LIKE INEQUALITY. Journal of Systems Science and Mathematical Sciences, 1999, 19(4): 447-452 https://doi.org/10.12341/jssms09762
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