### Continuity of Solution Mappings for Parametric Generalized Set-Valued Weak Vector Equilibrium Problems

PENG Zaiyun1 , ZHAO Yong2 , YANG Xinmin3

1. 1.College of Mathematics and Statistics, Chongqing JiaoTong University, Chongqing 400074, China.;2.Department of Mathematics, Sichuan University, Chengdu 610065, China.;3.Department of Mathematics, Chongqing Normal University, Chongqing 400047, China.
• Online:2017-04-25 Published:2017-03-24

PENG Zaiyun,ZHAO Yong,YANG Xinmin. Continuity of Solution Mappings for Parametric Generalized Set-Valued Weak Vector Equilibrium Problems[J]. Journal of Systems Science and Complexity, 2017, 30(2): 378-391.

This paper obtains some stability results for parametric generalized set-valued weak vector equilibrium problem. Under new assumptions, which do not contain any information about solution mappings, the authors establish the continuity of the solution mapping to a parametric generalized set-valued weak vector equilibrium problem without monotonicity. These results extend and improve some results in the literature. Some examples are given to illustrate the results.

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