Metric regularity of a positive order for generalized equations |
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Authors: | Thai Doan Chuong |
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Institution: | 1. Department of Mathematics &2. Applications, Saigon University, 273 An Duong Vuong Street, Ward 3, District 5, Ho Chi Minh City, Vietnam.chuongthaidoan@yahoo.com |
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Abstract: | This paper focuses on the metric regularity of a positive order for generalized equations. More concretely, we establish verifiable sufficient conditions for a generalized equation to achieve the metric regularity of a positive order at its a given solution. The provided conditions are expressed in terms of the Fréchet coderivative/or the Mordukhovich coderivative/or the Clarke one of the corresponding multifunction formulated the generalized equation. In addition, we show that such sufficient conditions turn out to be also necessary for the metric regularity of a positive order of the generalized equation in the case where the multifunction established the generalized equation is closed and convex. |
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Keywords: | metric q-regularity sufficient condition multifunction coderivative |
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