Variational analysis of a composite function: A formula for the lower second order epi-derivative☆
暂无分享,去创建一个
[1] John B. Shoven,et al. I , Edinburgh Medical and Surgical Journal.
[2] A. Ioffe. Necessary and Sufficient Conditions for a Local Minimum. 1: A Reduction Theorem and First Order Conditions , 1979 .
[3] A. Ioffe,et al. Theory of extremal problems , 1979 .
[4] A. D. Ioffe. Second Order Conditions in Nonlinear Nonsmooth Problems of Semi-Infinite Programming , 1983 .
[5] J. Aubin,et al. Applied Nonlinear Analysis , 1984 .
[6] A. Ben-Tal,et al. Directional derivatives in nonsmooth optimization , 1985 .
[7] R. W. Chaney. Second-order directional derivatives for nonsmooth functions , 1987 .
[8] James V. Burke,et al. Second order necessary and sufficient conditions for convex composite NDO , 1987, Math. Program..
[9] A. Ioffe,et al. On some recent developments in the theory of second order optimality conditions , 1988 .
[10] R. Rockafellar. First- and second-order epi-differentiability in nonlinear programming , 1988 .
[11] Hidefumi Kawasaki. The upper and lower second order directional derivatives of a sup-type function , 1988, Math. Program..
[12] R. Tyrrell Rockafellar,et al. Second-Order Optimality Conditions in Nonlinear Programming Obtained by Way of Epi-Derivatives , 1989, Math. Oper. Res..
[13] R. Cominetti. On pseudo-differentiability , 1991 .
[14] J. V. Burke,et al. Optimality conditions for non-finite valued convex composite functions , 1992, Math. Program..