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含参广义集值强向量平衡问题的稳定性
The Stability of Solution Set Mappings to Parametric Generalized Set-Valued Strong Equilibrium Problems
本文借助集合极限的性质和弱f-性假设证明了含参广义集值强向量平衡问题解集映射的下半连续性，其方法不同于最近文献（Zhao，2016和Meng，2018）.此外，建立了含参广义集值强向量平衡问题解集连通性的充分条件，并举例验证了所得结果的正确性.本文得结果推广和改进了已有文献（Gong，2008，Xu，2009，Chen，2010，Xu，2013和Zhao，2013）中相应结果.
In this study, the lower semicontinuity of solution mappings to parametric generalized set-valued strong vector equilibrium problems is proved, by employing properties of the limit to set-valued mapping and the assumption of weakf-property, which method is different from the recent ones (Zhao, 2016 and Meng, 2018). Moreover, a sufficient condition of the solution sets to parametric generalized set-valued strong vector equilibrium problems is established, and examples are also given for the illustration of the correctness to the obtained results. The obtained results generalize and improve the ones in the literature (Gong, 2008, Xu, 2009, Chen, 2010, Xu, 2013 and Zhao, 2013).
含参广义集值强向量平衡问题 / f-有效解 / 弱f-有效解 / 下半连续性 / 连通性 {{custom_keyword}} /
parametric generalized set-valued strong vector equilibrium problem / fefficient solution / weak f-efficient solution / lower semicontinuity / connectedness {{custom_keyword}} /
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国家自然科学基金（11471059）；重庆市基础与前沿研究项目（cstc2016jcyjA0219，cstc2017jcyjAX0382，cstc2018jcyjAX0337）；重庆市创新团队项目（CXTDX201601022）；重庆市巴渝学者计划项目重庆市教委科研课题（KJQN201800744，KJQN201800837）；重庆交通大学创新团队项目（优化理论与应用）；重庆交通大学科研与创新项目（2018PY21，201810618104）及科研启动项目（2020018038）
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