论文信息 - Quasidifferentials and maximal normal operators

Quasidifferentials and maximal normal operators

Quasidifferentials are studied with the theory of maximal normal operators. The quasidifferential of a normally quasidifferentiable function is a pair of upper and lower semicontinuous operators, which are special maximal normal operators. The function sum of the upper and lower semicontinuous operators is the Clarke subdifferential of this function. Basic calculus and minimal forms of quasidifferentials are also discussed.

Liqun Qi | L. Qi

[1] Liqun Qi,et al. The maximal normal operator space and integration of subdifferentials on nonconvex functions , 1989 .

[2] R. Mifflin. Semismooth and Semiconvex Functions in Constrained Optimization , 1977 .

[3] V. F. Dem'yanov,et al. Nondifferentiable Optimization , 1985 .

[4] L. Qi. Semismoothness and decomposition of maximal normal operators , 1990 .

[5] R. Rockafellar. The theory of subgradients and its applications to problems of optimization : convex and nonconvex functions , 1981 .

[6] F. Clarke. Optimization And Nonsmooth Analysis , 1983 .