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中文摘要：
利用已有的拟凸函数四种次微分,引进拟凸函数的四种近似次微分,给出拟凸变分不等式问题,研究了拟凸变分不等式的近似解与拟凸优化问题近似解之间的充分条件与必要条件,并给出相应例题予以说明.
英文摘要：
In this paper, we introduce four kinds of approximate subdifferential of quasiconvex function by using known four kinds of subdifferential of quasiconvex function, and give quasiconvex variational ine-quality problems. We study the sufficient conditions and necessary conditions between the quasiconvex var-iational inequality and quasiconvex optimization problems,and give the corresponding examples to illus- txate.
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Characterizations of the approximate solution sets of nonsmooth optimization problems and its applic
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