Normal and mixed partial second-order subdifferentials in variational analysis and optimization |
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Authors: | Email author" target="_blank">Ildar?SadeqiEmail author Somayeh?Nadi |
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Institution: | 1.Department of Mathematics,Sahand University of Technology,Tabriz,Iran |
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Abstract: | A partial second-order subdifferential is defined here for extended real valued functions of two variables corresponding to its variables through coderivatives of first-order partial subdifferential mappings. In addition, some rules are presented to calculate these second-order structures along with defining some conditions to insure the equality \(\partial ^2_{yx}\) and \(\partial ^2_{xy}\). Moreover, as an application, some conditions are stated which show the relation between local minimum of a function and positiveness of principal minors of its hessian matrix. |
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