Metric subregularity for composite-convex generalized equations in Banach spaces |
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Authors: | Xi Yin Zheng Wei Ouyang |
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Institution: | Department of Mathematics, Yunnan University, Kunming 650091, PR China |
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Abstract: | In this paper we consider a convex-composite generalized constraint equation in Banach spaces. Using variational analysis technique, in terms of normal cones and coderivatives, we first establish sufficient conditions for such an equation to be metrically subregular. Under the Robinson qualification, we prove that these conditions are also necessary for the metric subregularity. In particular, some existing results on error bound and metric subregularity are extended to the composite-convexity case from the convexity case. |
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Keywords: | 90C31 90C25 49J52 |
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