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Global weak sharp minima for convex (semi-)infinite optimization problems
Authors:Xi Yin Zheng
Institution:a Department of Mathematics, Yunnan University, Kunming 650091, PR China
b Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hum, Kowloon, Hong Kong
Abstract:We mainly consider global weak sharp minima for convex infinite and semi-infinite optimization problems (CIP). In terms of the normal cone, subdifferential and directional derivative, we provide several characterizations for (CIP) to have global weak sharp minimum property.
Keywords:Infinite optimization  Semi-infinite optimization  Weak sharp minima  Subdifferential  Normal cone
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