Stability of Implicit Multifunctions in Banach Spaces |
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| Authors: | N Q Huy D S Kim K V Ninh |
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| Institution: | 1. Department of Mathematics, Hanoi Pedagogical University No. 2, Xuan Hoa, Me Linh, Vinh Phuc, Vietnam
2. Department of Applied Mathematics, Pukyong National University, Pusan, 608-737, Republic of Korea
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| Abstract: | This paper is devoted to present new sufficient conditions for both the metric regularity in the Robinson??s sense and the Lipschitz-like property in the Aubin??s sense of implicit multifunctions in general Banach spaces. The basic tools of our analysis involve the Clarke subdifferential, the Clarke coderivative of set-valued mappings, and the Ekeland variational principle. The metric regularity of implicit multifunction is compared with the Lipschitz-like property. |
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