Subsmooth semi-infinite and infinite optimization problems |
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| Authors: | Xi Yin Zheng Kung Fu Ng |
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| Institution: | 1. Department of Mathematics, Yunnan University, Kunming, 650091, People’s Republic of China
2. Department of Mathematics (IMS), The Chinese University of Hong Kong, Shatin, New Territory, Hong Kong
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| Abstract: | We first consider subsmoothness for a function family and provide formulas of the subdifferential of the pointwise supremum of a family of subsmooth functions. Next, we consider subsmooth infinite and semi-infinite optimization problems. In particular, we provide several dual and primal characterizations for a point to be a sharp minimum or a weak sharp minimum for such optimization problems. |
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